From: Miguel Sanjuan Organization: Universidad Politecnica de Madrid (Spain) Concerning the bibliography, is rather complete, however I stopped more tahn one year ago and since then many new books are in the libraries. I hope somebody else from the ChaosGruppe could continue with this work, which definitely I think it could be interesting in many respects. I am happy to know that it may be useful for the chaos community. NONLINEAR PHYSICS: CHAOS, SOLITONS AND FRACTALS Compiled by M.A.F. Sanjuan Dpto. de Fisica E. T. S. de Arquitectura Universidad Politecnica de Madrid 28040 Madrid Spain 7 of November 1994 A. Resource Letter on Nonlinear Dynamical Systems and Chaos I. Texts and Monographs A Abdullaev S.S.(ed. G.M.Zaslavsky) Chaos and Dynamics of Rays in Waveguide Media Gordon and Breach, N.Y., 1993 Abraham R. H. and Robbin J. Transversal mappings and flows Benjamin, Reading, MA, 1967 Abraham R. H. Complex Dynamical Systems Aerial Press, Santa Cruz, Ca, 1984 Abraham R. H. On Morphodynamics Aerial Press, Santa Cruz, Ca, 1984 Abraham R. H. and Marsden J. E. Foundations of Mechanics Benjamin, Reading, MA , 2nd ed.,1978.5th printing with corrections, 1985 Abraham R. H. , Marsden J. E. and Ratiu T. Manifolds, Tensor Analysis and Applications Springer-Verlag, Berlin, 1988 Abraham R. and Shaw C. Dynamics:The Geometry of Behaviour Part 1. Periodic Behaviour (1982) Part 2. Chaotic Behaviour (1983) Part 3. Global Behaviour (1983) Part 4. Bifurcation Behaviour (1984) Aerial Press, Santa Cruz, California Addison-Wesley, New York, 1992. Second Edition Afraimovich V. S. , Gavrilov I. K. , Luk'yanov V.I. and Shil'nikov L.P. Osnovnye Bifurkatsii dinamicheskikh sistem Izd-vo Gor'k. un-ta, Gor'kii, 1985(In Russian) Alseda L., LLibre J. and Misiurewicz M. Combinatorial Dynamics and Entropy in Dimension one World-Scientific, Singapore, 1993 Ames W. F. Nonlinear Partial Differential Equations in Engineering Academic Press, N.Y., Vol. 1, 1965 ; Vol. 2, 1972 Andronov A. A. Collected Works Izd-vo Akad. Nauk SSSR, Moscow, 1956 (In Russian ) Andronov A. A., Leontovich E. A., Gordon I. I. and Maier A. G. Teoriya Bifurkatsii dinamitcheskikh sistem na ploskosti Nauka, Moskva, 1967 (In Russian) Andronov A. A., Leontovich E. A., Gordon I. I. and Maier A. G. Theory of Bifurcations of Dynamic Systems on a plane Israel Program of Scientific Translations, Jerusalem, 1971 Andronov A. A., Leontovich E. A., Gordon I. I. and Maier A. G. Katcheivennaya teoriya dinamitcheskikh sistem vtorogo poryadka Nauka , Moskva, 1966 (In Russian) Andronov A. A., Leontovich E. A., Gordon I. I. and Maier A. G. Theory of Dynamic Systems on a plane Israel Program of Scientific Translations, Jerusalem, 1973 Andronov A. A., Vitt A. A. and Khaikin S. E. Teoriya Kolebanii Fizmatgiz, Moskva, 2nd ed. 1959 (In Russian) Andronov A. A., Vitt A. A. and Khaikin S. E. Theory of Oscillators Pergamon Press, Oxford, 1966 Anishenko V.S. Stokhasticheskie Kolebaniya v radiofisicheskikh sistemakh . Ch.1 Fisiko-matematicheskie osnoby opisaniya i issledovaniya dinamicheskoi stokh astichnosti Izd-vo Sarat.un-ta, Saratov, 1985(In Russian) Anishenko V.S. Stokhasticheskie Kolebaniya v radiofisicheskikh sistemakh . Ch.2 Tipichniye bifurkatsii i kvaziattraktory v nelineinykh sistemakh s malym ch islom stepenei svobody Izd-vo Sarat.un-ta, Saratov, 1986(In Russian) Anishenko V.S. Dynamical Chaos in Physical Systems Teubner, Leipzig, 1989 Aris G., Aronson D. and Swinney H. Patterns and Dynamics in Reactive Media Springer-Verlag, Berlin, 1991 Arnol'd V. I. Obyknovennye Differentsial'nye uravneniya Nauka, Moskva, 1971(Original in Russian) Arnol'd V. I. Ordinary Differential Equations MIT Press, Cambridge, Ma, 1973 Arnol'd V. I. Ordinary Differential Equations Springer-Verlag, Berlin, 1992 Arnol'd V. I. Equations Diffšrentielles Ordinaires Mir, Moscow, 1974 Arnol'd V. I. Dopolnitel'nye glavy teorii obyknovennykh differentsial'nykh uravneniy (Geometrical Method in the Theory of Ordinary Differential Equations) Nauka, Moskva,1978.(In Russian) Arnol'd V. I. Chapitres Supplšmentaires de la Thšorie des Equations Differentielles Ordinaires . Mir, Moscou, 1980 ( In French) Arnol'd V. I. Geometrical Methods in the Theory of Ordinary Differential Equations Springer-Verlag, Berlin, 1988 Arnol'd V. I. Matematitcheskie Metody Klassitcheskoi Mekhaniki Nauka, Moskva.1st ed 1974. 3rd ed 1989.(In Russian) Arnol'd V. I. Mšthodes Mathematiques de la Mšcanique Classique Mir, Moscou, 1976 (In French) Arnol'd V. I. Mathematical Methods of Classical Mechanics Springer-Verlag, Berlin, 2nd ed., 1989 Arnol'd V. I. and Avez A. Probl­mes Ergodiques de la Mšcanique Classique Gauthiers-Villars, Paris, 1966 Arnol'd V. I. and Avez A. Ergodic Problems of Classical Mechanics Addison-Wesley, New York, 1989 Arnol'd V.I. Teoriya Katastrof Izd-vo MGU, Moskva, 1983(In Russian) Arnol'd V.I. Theory of Catastrophes Springer-Verlag, Berlin, 1984 Arrowsmith D. K. and Place C. H. Introduction to Dynamical Systems Cambridge University Press, Cambridge, 1990 Arrowsmith D. K. and Place C. H. Dynamical Systems. Differential equations, maps and chaotic behaviour. Chapman & Hall, London, 1992 Awrejcewicz J. Bifurcations and Chaos in simple Dynamical Systems World Scientific, Singapore, 1989 Awrejcewicz J. Bifurcations and Chaos in Coupled Oscillators World Scientific, Singapore, 1991 B Babakov I. M. The Theory of Oscillations Nauka, 2nd ed., Moscow, 1965 ( In Russian ) Babitskii V. I. Teoriya Vibroudarnykh sistem Nauka, Moscow, 1978(In Russian) Babitskii V. I. and Krupenin V. L. Kolebaniya v cil'no nelineinykh sistemakh : Nelineinosti porogovogo tipa Nauka, Moscow, 1985(In Russian) Bainov D. D. and Konstantinov M. M. Averaging and Its Applications to Engineering Nauka i Izkustvo, Sofia, 1973 ( In Bulgarian) Baker G. L. and Gollub J. Chaotic Dynamics : An Introduction. Cambridge University Press, Cambridge, 1990 Bakker P.G. Bifurcations in Flow Patterns Kluwer Academic Pub., Dordrecht, The Netherlands, 1988 Barbashin E. A. Introduction to the Theory of Stability Nauka, Moscow, 1967 ( In Russian) Barnsley M. Fractals Everywhere Academic Press, N.Y., 1988. 2nd edition, 1993 Barnsley M. F. The Desktop Fractal Design System Academic Press, N.Y., 1989. Version 2.0, 1992 Barnsley M. F. and Demko S. G. Chaotic Dynamics and Fractals Academic Press, N.Y., 1986 Barnsley M. The Fractal Transform Jones and Bartlett Pub., Boston, 1992 Bauer H.-U. Nichtlineare Dynamik r¾ckgekoppelter neuronaler Netze Verlag harri Deutsch, Frankfurt, 1991 Bautin N. N. Dinamicheskiie Modeli Svobodnykh Chasobykh Khodov Izd-vo AN SSSR, Moscow, 1955(In Russian) Bautin N. N. and Leontovich E. A. Metody i priemy katchestvennogo issledovaniya dinamitchesskikh sistem na ploskos ti Nauka, Moskva, 1976 (In Russian) Bautin N. N. The behaviour of dynamical systems near the boundaries of the domain of stabilit y Nauka, Moskva, 2nd ed.,1984.(In Russian) Beardon A. The Iteration of Rational Functions Springer-Verlag, Berlin, 1991 Becker K.-H. and D¾rfer M. Dynamische Systeme und Fraktale Computergraphische Experimente mit Pascal. F. Vieweg., Braunschweig, 1989. Becker K. H. and D¾rfer M. Dynamical Systems and Fractals. Computer Graphics Experiments in Pascal. Cambridge University Press, Cambridge, 1989.Reprinted, 1990. Beck U. Computer Graphik. Bilder und Programme zu Fraktalen, Chaos und Selbst¯nlichkeit Birkh¯user, Basel, 1988 Belya K. K. Nonlinear Oscillations in Automatic Control Systems Mashgiz, Moscow, 1962 (In Russian) Bell D. J. Mathematics of Linear and Nonlinear Systems for Engineers and Applied Scientists Oxford University Press, Oxford, 1990 Bergš P., Pomeau Y. and Vidal C. L'Ordre dans le Chaos:Vers une approche dšterministe de la turbulence Hermann, Paris, 1984 (Original In French) Bergš P., Pomeau Y. and Vidal C. Order within Chaos:Towards a Deterministic Approach to Turbulence Wiley, N.Y., 1987 Berger M. S. Nonlinearity and Functional Analysis Academic Press, N.Y., 1977 Berger M. S. Mathematical Structures of Nonlinear Science Kluwer Academic Pub., Dordrecht, The Netherlands, 1990 Bernoussou J. Point Mapping Stability Pergamon Press, Oxford, 1977 Bhatia N. P. and SzegÓ G. D. Dynamical Systems : Stability Theory and Applications Springer-Verlag, Berlin, 1967 Bhatia N. P. and Hßjek O. Local Semi-Dynamical Systems Springer-Verlag, Berlin, 1969 Bhatia N. P. and SzegÓ G. D. Stability Theory of Dynamical Systems Springer-Verlag, Berlin, 1970 Bhattacharjee J. K. Convection and Chaos in Fluids World Scientific, Singapore, 1987 Bibikov Y. N. Local Theory of Nonlinear Analytic Ordinary Differential Equations Springer-Verlag, Berlin, 1979 Billingsley P. Ergodic Theory and Information Wiley, N.Y., 1960 Billingsley P. Probability and Measure Wiley, Chichester, 1979 Birkhoff G. D. Dynamical Systems American Mathematical Society, Providence, R I, 1927 Birkhoff G. D. Collected Mathematical Papers Vols.1-3 American Mathematical Society, Providence, R I, 1950 Birdi K.S. Fractals in Chemistry, Geochemistry, and Biophysics: An Introduction Plenum, N.Y., 1993 Bishop R. E. and Johnson D. C. The Mechanics of Vibration Cambridge University Press, Cambridge, 1960 Blaqui­re A. Mšcanique non linšaire, les oscillateurs et ršgimes quasi sinusoãdaux Gauthier-Villars, Paris, 1960 Blaqui­re A. Nonlinear Systems Analysis Academic Press, N.Y., 1966 Blaqui­re A. Dynamical Systems and microphysics Springer-Verlag, Berlin, 1980 Blechman I. I. Synchronization of Dynamic Systems Nauka, Moscow, 1971 ( In Russian) Bogoliubov N. N. Selected Papers, vol. 1 Naukova Dumka, Kiev, 1969 ( In Russian) Bogoliubov N. N. and Mitropol'skii Yu. A. 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Nelineinye Statsionarnye Kolebaniya Naukova Dumka, Kiev, 1974 (In Russian) Bondarenko B. Generalized Pascal Triangles and Pyramids, Their Fractals, Graphs and Applicatio ns Fan, Tashkent, 1990 (In Russian) Borrelli R. L. and Coleman C. S. Differential Equations : A Modeling Approach Prentice-Hall, N.Y., 1987 Bossel H. Simulation dynamischer Systeme Vieweg, Braunschweig, 1989 Bowen R. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms Springer-Verlag, Berlin, 1975 Bowen R. Methods of Symbolic Dynamics Springer-Verlag, Berlin, 1975 Boyce W. E. and DiPrima R. C. Elementary Differential Equations and Boundary Value Problems Wiley, NY, 1977 Boyadzhiev G. N. Nonlinear Vibrations Tekhnika, Sofia, 1970 ( In Bulgarian ) Boyland P. Dynamics of Surface Homeomorphisms World-Scientific, Singapore, 1993 Brown J. Ergodic Theory and Topological Dynamics Academic Press, New York, 1976 Broer H. W., Huitema B., Takens F. and Braaksma B. L. J. 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Vvdenie v teoriyu nelineinykh kolebaniy (Introduction to the theory of nonlinear oscillations) Nauka, Moskva, 1987 , 1st ed. 1976,(In Russian) Bylov B. F. , Vinograd R. E. , Grobman D. M. and Nemitsky V. V. The Theory of Lyapunov Exponents and Applications to Stability Problems Nauka, Moscow, 1966 ( In Russian) C Carleson L. and Gamelin T. Complex Dynamics Springer-Verlag, Berlin, 1993 Carr J. Applications of Center Manifold Theory Springer-Verlag, Berlin, 1981 Casti J.L. Reality Rules:I Picturing the World in Mathematics-The Fundamentals John Wiley, New York, 1992 Casti J.L. Reality Rules:II Picturing the World in Mathematics-The Frontier John Wiley, New York, 1992 Cesari L. Asymptotic Behaviour and Stability Problems in Ordinary Differential Equations Springer-Verlag, Berlin, 1971, 1st ed. 1959 Chaitin G.J. Algorithmic Information Theory Cambridge University Press, Cambridge, 1987 Chang K. W. and Howes F. A. Nonlinear Singular Perturbation Phenomena : Theory and Applications Springer-Verlag, Berlin, 1984 Cherbit G. Fractals:Dimensions non enti­res et applications Masson, Paris, 1987 Cherbit G. Fractals:Non-integer Dimensions and Applications Wiley, New York, 1991 Chernoff P. R. and Marsden J. E. Properties of Infinite Dimensional Hamiltonian Systems Springer-Verlag, Berlin, 1974 Chetatev N. G. Stability of motion Gostekhizdat, 1955, 2nd ed.( In Russian) Chetatev N. G. Stability of motion : Application to Analytical Mechanics Izd-vo Akad. Nauk SSSR, 1962 ( In Russian) Chillingworth D. R. J. Differential topology with a view to applications Pitman, London, 1976 Chirikov B. V. Nonlinear Resonance Izd-vo Novosibirsk Univ., Novosibirsk, 1977(In Russian) Chirikov B. V. Interactions of Nonlinear Resonances Izd-vo Novosibirsk Univ., Novosibirsk, 1978(In Russian) Chow S. N. and Hale J. K. Methods of Bifurcation Theory Springer-Verlag, Berlin, 1982 Coddington E. A. and Levinson N. Theory of Ordinary Differential Equations McGraw-Hill, N.Y., 1955 Collet P. and Eckman J. P. Iterated Maps on the Interval as Dynamical Systems Birkh¯user, Boston, 1980 Collet P. and Eckman J. P. Instabilities and Fronts in Extended Systems Princeton University Press, Princeton, 1990 Conley C. C. Isolated Invariant Sets and the Morse Index American Mathematical Society, Providence, R I, 1978 Constantin P., Foias C. and Teman R. Attractors Representing Turbulent Flows American Mathematical Society, Providence, R I, 1985 Cunningham W. J. Introduction to Nonlinear Analysis McGraw-Hill, New York, 1956 D Davis H. T. Introduction to Nonlinear Differential Equations and Integral Equations Dover, N.Y., 1962 Davis P.J. Spirals: From Theodurus to Chaos Jones and Bartlett Pub., Boston, 1992 Den Hartog J. P. Mechanical Vibrations MacGraw-Hill, N.Y., 1956 Devaney R. L. An Introduction to Chaotic Dynamical Systems Addison-Wesley , N.Y., 1989 (First Ed. Benjamin/Cummings, Menlo Park, CA, 1986) Dendrinos D. and Sonis M. Chaos and Socio-Spatial Dynamics Springer-Verlag, Berlin, 1990 Dinca F. and Teodosiu C. Vibratii neliniave si aleatore Acad. R. S. P., Bucuresti, 1969 ( In Rumanian) Dingjun L. and Libang T. Qualitative Theory of Dynamical Systems World-Scientific, Singapore, 1993 Dmitriev A. S. and Kislov V. Ya. Stokhasticheskie Kolebaniya v radiofisike i elektronike (Chaotic Oscillations in radiophysics and electronics) Nauka, Moskva, 1989 (In Russian) Dolzhanski F. V., Klyatskin V.I. , Obukhov A.M. and Chusov M.A. Nelineinye Sistemy Gidrodinamicheskogo Tipa Nauka, Moscow, 1974(In Russian) Drazin P.G. Nonlinear Systems Cambridge University Press, Cambridge, 1992 Duboshin G. N. Fundamentals of the Theory of Stability of Motion Izd-v0 MGU, Moscow,1952,(In Russian) Duboshin G. N. Celestial Mechanics : Principal Problems and Methods Fizmatgiz, Moscow,1962,(In Russian) Duboshin G. N. 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Dimension Theory North Holland, Amsterdam, 1978 Erdšlyi A. Asymptotic Expansions Dover, N.Y., 1956 F Falconer K. J. The Geometry of Fractals Sets Cambridge University Press, Cambridge, 1985 Falconer K. J. Fractal Geometry:Mathematical Foundations and Applications Wiley, N.Y., 1989. Feder J. Fractals Plenum Press, N.Y., 1st Ed. 1988. 4th print. 1989 Feistel R. and Ebeling W. Evolution of Complex Systems(Selforganisation, Entropy and Development) Kluwer Academic Pub., Dordrecht, The Netherlands, 1989 Fiala V. Solution of Nonlinear Vibration Systems by Means of Analogue Computers Nat. Res. Inst. for Mach. Design., Bechovice, Prague, 1976 Filatov A. N. Asimptoticheskie Metody b Teorii Differentsial'nykh Uravnenii Fan, Tashkent, 1974. (In Russian) Filatov A. N. and Sharova L. V. Integral Inequalities and the Theory of Nonlinear Oscillations Nauka, Moscow, 1976. (In Russian) Fischer P. and Smith W. Chaos, Fractals and Dynamics Marcel Dekker , New York, 1985 Frame M. An Introduction to Fractals and Chaos McGraw Hill, To be published Franks J. M. Homology and Dynamical Systems American Mathematical Society, Providence, R I, 1982 Freidlin M. I. and Wentzell A. D. Random Perturbations of Dynamical Systems Springer-Verlag, Berlin, 1984 Fr°yland J. Introduction to Chaos and Coherence IOP, Bristol, 1992 G Gibson C. G. Singular Points of Smooth Mappings Pitman, London, 1979 Gilmore R. Catastrophe Theory for Scientists and Engineering Wiley, N.Y., 1981 Glass L. and Mackey M. C. >From Clocks to Chaos:The Rythms of Life Princeton University Press, Princeton, 1988 Gledzer E. B., Dolzhanski F. V. and Obukhov A. M. Sistemy Gidrodimamicheskogo Tipa i ikh Primenenie Nauka, Moscow, 1981(In Russian) Godbillon C. Dynamical Systems on Surfaces Springer-Verlag, Berlin, 1983 Golš C. Symplectic Twists Maps World-Scientific, Singapore, 1993 Golubitsky M. and Guillemin V. Stable Mappings and their Singularities Springer-Verlag, Berlin, 1973 Golubitsky M and Schaefer D.G. Singularities and Groups in Bifurcation Theory. Vol. 1 Springer-Verlag, Berlin, 1985 Golubitsky M , Stewart I. and Schaefer D.G. Singularities and Groups in Bifurcation Theory. Vol. 2 Springer-Verlag, Berlin, 1988 Gorelik G. S. Oscillations and Waves Fizmatgiz, Moscow, 1959 ( In Russian ) Gottshalk W. H. and Hedlund G. A. Topological Dynamics American Mathematical Society, Providence, R I, 1981 Grasman J. Asymptotic Methods for Relaxation Oscillations and Applications Springer-Verlag, Berlin, 1987 Gray P. and Scott S. K. Oscillations and Instabilities Oxford University Press, Oxford, 1990 Grebenikov E. A. and Ryabov Yu. A. Novel Qualitative Methods in Celestial Mechanics Nauka, Moscow, 1971(In Russian) Grebenikov E. A. and Ryabov Yu. A. Resonances and Small Denominators in Celestial Mechanics Nauka, Moscow, 1978( In Russian) Grebenikov E. A. and Ryabov Yu. A. Constructive Methods in the Analysis of Nonlinear Systems Nauka, Moscow, 1979 ( In Russian) Grebenikov E. A. and Ryabov Yu. A. 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Differential Equations : Stability, Oscillations, Time Lags Academic Press, New York, 1966 Hale J. K. Oscillations in Nonlinear Systems MacGraw-Hill, New York, 1963 Hale J. K. Ordinary Differential Equations Wiley-Intersicence, New York, 1969 Robert E. Krieger , Malabar, Fl, 1980 Hale J.K. Generic Bifurcation with Application Brown University, Providence, (lectures notes), 1976 Hale J.K. Theory of Functional Differential Equations Springer-Verlag, Berlin, 1977 Hale J. K. Topics in Dynamic Bifurcation Theory American Mathematical Society, Providence, R I, 1981 Hale J. K., Magalhaes L. T. and Oliva W. M. An Introduction to Infinite Dimensional Dynamical Systems Springer-Verlag, Berlin, 1984 Hale J. K. Asymptotic Behaviour of Dissipative Systems American Mathematical Society, Providence, R I, 1988 Hale J. K. and Ko×ak H. Dynamics and Bifurcations Springer-Verlag, Berlin, 1992 Halmos P. R. Lectures in Ergodic Theory Publ. Math. Soc., Japan, Tokyo, 1956 Chelsea, N.Y., 1958 Hao Bai-Lin Elementary Symbolic Dynamics and Chaos in Dissipative Systems World Scientific , Singapore, 1989 Haussdorff F. Grundz¾ge der Mengenlehre Verlag von Veit & Comp., 1914 Hartman R. Ordinary Differential Equations Wiley, N.Y., 1964 Hassard B.D. , Kazarinoff N. D. and Wan Y.-H. Theory and Applications of the Hopf Bifurcation Cambridge University Press, Cambridge, 1980 Hayashi C. Forced Oscillations in Nonlinear Systems Nippon Printing and Publishing, Osaka, 1953 Hayashi C. Non Linear Oscillations in Physical Systems McGraw-Hill, New York, 1964 Hayashi C. Selected Papers on Nonlinear Oscillations Nippon Printing and Publishing, Osaka, 1975 Hayashi C. Non Linear Oscillations in Physical Systems Princeton University Press, Princeton, 1985 Henry D. Geometric Theory of Semilinear Parabolic Equations Springer-Verlag, Berlin, 1981 Hilborn R.C. Chaos and Nonlinear Dynamics. An Introduction for Scientists and Engineers. 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Nonlinearity in Biology and Medicine Elsevier, N.Y., 1988 Pesquera L. and Bermejo F. J. (eds.) Dynamics of Nonlinear Optical Systems World Scientific, Singapore, 1989 Pietronero L. and Tosatti E. (eds.) Fractals in Physics North-Holland, Amsterdam, 1986 Pietronero L. (ed.) Fractals' Physical Origin and Properties Plenum, N.Y., 1990 Pike E. R. and Sarkar S.(eds.) Quantum Measurement and Chaos Plenum Press , N.Y., 1987 Pike E. R. and Lugiato L. A. (eds.) Chaos, Noise and Fractals Adam Hilger, Bristol, 1987 Pnevmatikos S. (ed.) Singularities and Dynamical Systems North-Holland, Amsterdam, 1984 Pnevmatikos St., Bountis T. and Pnevmatikos S. (eds.) Singular Behaviour and Nonlinear Dynamics ( 2 Vols.) World Scientific, Singapore, 1989 Procaccia I. and Shapiro M. (eds.) Chaos and Related Nonlinear Phenomena Plenum Press, N.Y., 1987 Proto A. N. (ed.) Nonlinear Phenomena in Complex Systems North-Holland, Amsterdam , 1989 R Rabinowitz P.H. (ed.) Applications of Bifurcation Theory Academic Press, New York, 1977 Rabinowitz P. H. and Zehnder E. (eds.) Analysis, et cetera. Research Papers published in Honor of J¾rgen Moser's 60th Birthday Academic Press, N.Y., 1990 Rand D. A. and Young L.-S.(eds.) Dynamical Systems and Turbulence Springer-Verlag, Berlin, 1981 Rensing L. and Jaeger N.I. (ed.) Temporal Order Springer-Verlag, Berlin, 1985 Rensing L., an der Heiden U. and Mackey M. C. (eds.) Temporal Disorder in Human Oscillatory Systems Springer-Verlag, Berlin, 1987 Riste T. (ed.) Nonlinear Phenomena at Phase Transitions and Instabilities Plenum Press, N.Y., 1982 Roose D., De Dier B. and Spence A.(eds.) Continuation and Bifurcations : Numerical Techniques and Applications Kluwer Academic Pub., Dordrecht, The Netherlands, 1990 Rozmus W. and Tuszynski J. A. (eds.) Nonlinear and Chaotic Phenomena in Plamas, Solids and Fluids. World Scientific, Singapore, 1991 S Saenz A. W., Zachary W. W. and Cawley R. (eds.) 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Nonlinear Problems in Future Particle Accelerators World Scientific, Singapore, 1991 Schiehlen W.(ed.) Nonlinear Dynamics in Engineering Systems Springer-Verlag, Berlin, 1990 Scholz C. H. and B.B. Mandelbrot (eds.) Fractals in Geophysics Birkh¯user, Boston, 1989 Schuster P. (ed.) Stochastic Phenomena and Chaotic Behaviour in Complex Systems Springer-Verlag, Berlin, 1984 Sel'kov E. E. (ed.) Oscillatory Processes in Biological and Biochemical Systems Izd-vo Akad.Nauk SSSR, Puschino, 1971(In Russian) Seligmann T. H. and Nishioka H.(eds.) Quantum Chaos and Statistical Nuclear Physics Springer-Verlag, Berlin, 1986 Seydel R. , Schneider F. W., K¾pper T. and Troger H.(eds.) Proceedings of the Conference on Bifurcation and Chaos, W¾rzburg 1990 Birkh¯user, Basel, 1991 Shiraiwa K.(ed.) Dynamical Systems and Related Topics World Scientific, Singapore, 1991 Shiraiwa K. and Ikegami G. (eds.) Stability Theory and Related Topics in Dynamical Systems World Scientific, Singapore, 1989 Shlesinger M. F., Cawley R., Saenz A. W. and Zachary W. (eds.) Perspectives in Nonlinear Dynamics World Scientific, Singapore, 1986 Sinai Ya. G. and Shil'nikov L. P.(eds.) Strange Attractors Mir, Moscow, 1979 (In Russian) Sinai Ya. G.(ed.) Dynamical Systems II Encliclopaedia of Mathematical Sciences Springer-Verlag, Berlin, 1988 Sinai Ya. G. (ed.) Dynamical Systems-A Collection of Papers World Scientific, Singapore, 1991 Sinai Ya. G. (ed.) Mathematical Problems of Statistical Mechanics World Scientific, Singapore, 1991 Sirovich L. (ed.) New Perspectives in Turbulence Springer-Verlag, Berlin, 1991 Solomon A. I. (ed.) Statistical Mechanics World Scientific, Singapore, 1988 Stakgold I. , Joseph D. D. and Sattinger D. H. (eds.) Nonlinear Problems in the Physical Sciences and Biology Springer-Verlag, Berlin, 1973 Stanley H.E. and ostrowsky N. (eds.) Fluctuations and Pattern Formation Dordrecht, Boston, 1988 Stein D. L. (ed.) Lectures in the Sciences of Complexity Addison-Wesley, N.Y., 1989 Swinney H. L. and Gollub J. P.(eds.) Hydrodynamic Instabilities and the Transition to Turbulence Springer-Verlag, Berlin, 1981 Szemplinska-Stupnicka W., Iooss G. and Moon F. C.(eds.) Chaotic Motions in Nonlinear Dynamical Systems Springer-Verlag , Berlin, 1988 Szebehely V. G. and Tarpley B. D. (eds.) Long Time Predictions in Dynamics Reidel, Dordrecht, 1976 Szebehely V. G. (ed.) Instabilities in Dynamical Systems and Applications to Celestial Mechanics Reidel, Dordrecht, 1979 Szebehely V. G. (ed.) Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics Reidel, Dordrecht, 1982 T Tabor M. and Treve Y. (eds.) Mathematical Methods in Hydrodynamics and Integrability in related Dynamical Sys tems American Institute of Physics, N.Y., 1982 Takayama H. (ed.) Cooperative Dynamics in Complex Physical Systems Springer-Verlag, Berlin, 1989 Tatsumi T. (ed.) Turbulence and Chaotic Phenomena in Fluids North-Holland, Amsterdam, 1984 Thibault R. (ed.) Iteration Theory and its Applications CNRS, Paris, 1982 Tirapegui E. and Villarroel D. (eds.) Instabilities and Nonequilibrium Structures Kluwer Academic Pub., Dordrecht, The Netherlands, 1987 Tirapegui E. and Villarroel D. (eds.) Instabilities and Nonequilibrium Structures II : Dynamical Systems and Instabilities Kluwer Academic Pub., Dordrecht, The Netherlands, 1989 Tirapegui E. and Zeller W. (eds.) Instabilities and Nonequilibrium Structures III : Kluwer Academic Pub., Dordrecht, The Netherlands, 1991 Turchetti G. (ed.) Nonlinear Dynamics World Scientific, Singapore, 1989 V Velarde M. G.(ed.) Synergetics, Order and Chaos World Scientific, Singapore, 1989 Velo G. and Wightman A. S. (eds.) Regular and Chaotic Motions in Dynamic Systems Plenum Press, N.Y., 1985 Verhulst F.(ed.) Asymptotic Analysis Springer-Verlag, Berlin, 1979 Verhulst F.(ed.) Asymptotic Analysis of Hamiltonian Systems Springer-Verlag, Berlin, 1983 Vidal C. and Pacault A.(eds.) Nonlinear Phenomena in Chemical Dynamics Springer-Verlag, Berlin, 1981 Vidal C.(ed.) Nonequilibrium Dynamics in Chemical Systems Springer-Verlag, Berlin, 1984 Vincent T. L. , Mees A.I. and Jennings L.S. (eds.) Dynamics of Complex Interconnected Biological Systems Birkh¯user, Boston, 1990 Vivaldi F. (ed.) Fractals and Chaos Institute of Physics, Bristol, (In Press) Vohra S., Spano M., Shlesinger M., Pecore L.M. and Ditto W.(eds.) 1st Experimental Chaos Conference World Scientific , Singapore, 1992 W Walgraef D. and Ghoniem (eds.) Patterns, Defects and Materials Instabilities Kluwer Academic Pub., Dordrecht, The Netherlands, 1990 Whalter H., Koroteev N. and Scully M.(eds.) Frontiers in Nonlinear Optics The Sergei Akhmanov Memorial Volume IOP Publishing, Bristol, 1993 West B.J.(ed.) Patterns, Information and Chaos in neuronal Systems World-Scientific, Singapore, 1993 West T. (ed.) Continuum Theory and Dynamical Systems Marcel Dekker , New York, 1993 Westfreid J. E., Brand H. R., Manneville P., Albinet G. and Boccara N. (eds.) Propagation in systems far from equilibrium Springer-Verlag, Berlin, 1988 Y Yamamoto Y. and Miya K. (eds.) Chaotic Dynamics in Magnetic and Magneto-Mechanical Systems North-Holland, Amsterdam, 1987 Z Zhang Shu-yu ( ed.) Directions in Chaos. Vol. 5 : Bibliography on Chaos World Scientific , Singapore, 1991 Zierep J. and Oertel H. (eds.) Convective Transport and Instability Phenomena G.Braun, Karlsruhe, 1982 Zweifel P. , Gallavotti G. and Auile M.(eds.) Nonlinear Evolution and Chaotic Phenomena Plenun Press, N.Y., 1987 III.Video , Film and Software A Aronson J. W. CHAOS : A C-based program for a SUN-Workstation National Institute of Standards and Technology, Gaithesburg, 20899 Maryland, 199 0 B Barnsley M. F. The Desktop Fractal Design System Handbook Floppy disk for IBM PC with EGA, 640K memory Academic Press, N.Y., 1989. Version 2.0, 1992 Barnsley M. F. The Desktop Fractal Design System Handbook Floppy disk for Macintosh Academic Press, N.Y., 1990. Version 2.0, 1992 Bessoir T. and Wolf A. Chaos Simulations Physics Academic Software, Raleigh, NC, 1993.For IBM-PC C Carlson C. Discoverform ver 1.2 Secondary Dynamical Systems Collaborative, PO Box 991, Groton, MA 01450. For Mac intosh. CHAOS Plus EduTech, 1927 Culver Road, Rochester, NY 14609. For Apple II Chaos in the Classroom I: Maps and Bifurcations Dynamical Systems P Box 35241, Tucson, Arizona 85740.For IBM-PC Chaos in the Classroom I: Fractals & Julia Sets Dynamical Systems P Box 35241, Tucson, Arizona 85740.For IBM-PC Chaotic Attractors in 3D Aerial Press, PO Box 1360, Santa Cruz, Ca 95061. For Apple II and IBM-PC Coffey S., Deprit A., Deprit E., Healy L. and Miller B. A Toolbox for Nonlinear Dynamics Institute for Mathematics and Its Applications, ( In Press ) Crutchfield J. P. Chaotic Attractors of Driven Oscillators ( 16 mm ) Aerial Press, Santa Cruz, Ca, 1984 Crutchfield J. P. Space-Time Dynamics in Video Feedback and Chaotic Attractors of Driven Oscillato rs ( Videotape ) Aerial Press, Santa Cruz, Ca, 1984 D DAEDALON CHAOS EM-50 Chaos Pendulum Mechanical Device Daedalon Corporation, PO Box 2028, Salem, Ma 01970-6228. 1991 Designer Fractal I:FractaSketch ver 1.19 Dynamic Software , PO Box 7534, Santa Cruz, Ca 95061. For Macintosh Designer Fractal I:MandelMovie ver 1.19 Dynamic Software , PO Box 7534, Santa Cruz, Ca 95061. For Macintosh Devaney R. L. Chaos, Fractals and Dynamics: Computer Experiments in Mathematics. Video, VHS, one hour. American Mathematical Society, Providence, R I, 1989. Devaney R. L. The Transition to Chaos : The Orbit Diagram and the Mandelbrot Set NTSC format on 1/2" VHS video, one hour. American Mathematical Society, Providence, R I, 1990. Doedel E. J. and Kernšvez J. P. AUTO : Software for continuation and bifurcation problems in ordinary differenti al equations. Caltech, Pasadena CA 91125, 1986 Dynamical Software I.4 for IBM-PC Dynamical Systems , Inc., P0 Box 35241, Tucson, Arizona 85740. Dynamical Software II.2 for IBM-PC Dynamical Systems , Inc., P0 Box 35241, Tucson, Arizona 85740. DYNASIM Aerial Press, PO Box 1360, Santa Cruz, Ca 95061. For IBM-PC E Eberhardt T. and Parmet M. The Beauty of Fractals Lab Graphics Software for the Macintosh, version 1.0 Springer-Verlag , Berlin, 1990 F Fractal Explorer ECLAT Microproducts Miami, FL. For Apple II. Fractal Magic ver 5.0 Sintar Software , PO Box 3746, Bellevue, WA 98009. MS-DOS and Macintosh FRACTOOLS An Electronic Kaleidoscope of Nature's Geometry IBM-PC, 512 K of RAM, Dos 2.0, 16 color EGA and VGA Bourbaki INC, Revolutionary Software, P.O. Box 2867, Boise, Idaho 83701, 1990 Fractal Pro Megage M.c/o Media Magic, PO Box 507, Nicasio, CA 94946.For Amiga Fractals V2.0 Atlantic Software, PO Box 299, Wenham , MA 01984. For Macintosh Fractalscope DYNACOMP, Inc., Dynacom Office Building, 178 Phillips Road, Webster, NY 14580. For Apple II H Harold J.B. Chaotic Mapper Physics Academic Software, Raleigh, NC 27695, 1992 Hubbard J. The Beauty and Complexity of the Mandelbrot Set A science television production. VHS format. American Mathematical Society, Providence, RI, 1990. Hubbard J. and West B. Mac Math : A Dynamical Systems Software Package With two diskettes Springer-Verlag , Berlin, 1990 K Koch R. Julia ver 1.0 Secondary Dynamical Systems Collaborative, PO Box 991, Groton, MA 01450. 1989. For Macintosh. Ko×ak H. Differential and Difference Equations through Computer Experiments with Diskette s containing PHASER : An animator/Simulator for Dynamical Systems for IBM Person al Computers. Springer-Verlag , Berlin, 1989 L Lee K.D. and Cohen Y. Fractal Attraction ( For the Macintosh) Academic Press, Troy, 1990 M Mac Chaos Dynamic Software , PO Box 7534, Santa Cruz, Ca 95061. For Macintosh Mandelbrot Explorer Amigdala Dos-Ware, PO Box 219, San Cristobal, NM 87564. MS-DOS Mandelbrot Explorer Media Magic, PO Box 507, Nicasio, CA 94946. MS-DOS Mapper James harold, PO Box 952, Adelphi, MD 20783. For IBM-PC Muhamad M. A. and Holden A. V. Chaos and Strange Attractors 40- or 80 -track 5 1/4 " discs for Acorn BBC-B Microcomputer Manchester University Press, Manchester, 1986 Munafo R. A. Super-MandelZoom ver 1.19 Secondary Dynamical Systems Collaborative PO Box 991, Groton, MA 01450. 1989.For Macintosh. N NLF:Nonlinear Forecasting Dynamical Systems, Inc., P0 Box 35241, Tucson, Arizona 85740.For IBM-PC. P Parmet M. The Game of Fractal Images ver 1.2 Springer-Verlag, N.Y., 1989. For Mac II Parris R. Peanut Software ver 2.93 Peanut Software.c/o Richard Parris, Philips Exeter Academy, Exeter, NH 03833. Fo r IBM-PC Peitgen H.-O., J¾rgens H. and Saupe D. The Game of Fractal Images Part 1: The Mandelbrot Set Version 1.2 (With diskettes) Springer-Verlag , Berlin, 2nd ed. 1989 Peitgen H.-O., J¾rgens H. and Saupe D. The Beauty of Fractal Lab Written by T. Eberhardt and M. Parnet Graphics Software for the Macintosh Version 1.0 Springer-Verlag , Berlin, 1990 Periodic Attractors in the Plane Aerial Press, PO Box 1360, Santa Cruz, Ca 95061. For Apple II and IBM-PC PhasePlane:The Dynamical Systems Tool Brooks/Cole Publishing Co. c/o Wadsworth Publishing Company, Ten Davis Drive, Belmont, CA 94002.For IBM-PC R Richards E.M. Fractal Aggregations 21 Wichard Blvd., Commack, NY11725-1706, 1993 Richter P. H. and Scholz H.-J. Das ebene Doppelpendel Institut f¾r den Wissenschaftlichen Film, GÓttingen, 1985 Richter P. H. and Scholz H.-J. The Planar Double Pendulum Publ.Wiss.Film, Sekt.Tech.Wiss, Film C1574, GÓttingen, 1985 Richter P. H. and Scholz H.-J. Das eingeschr¯nkte DreikÓrperproblem Institut f¾r den Wissenschaftlichen Film, GÓttingen, 1987 Richter P. H. and Scholz H.-J. The Restricted Three Body Problem Publ.Wiss.Film, Sekt.Tech.Wiss, Film C1654, GÓttingen, 1987 Rollins R. W. Chaotic Dynamics Workbench Requires IBM PC or 512K RAM and CGA graphics. Physics Academic Software, Raleigh, NC, 1990 Rucker R. and Gleick J. Chaos:The Software Autodesk Inc.,2320Mainship Way, Sausalito, CA 94965.1990 S Sagdeev R. Z., Usikov D. A. and Zaslavky G. M. Nonlinear Physics.From the pendulum to turbulence and chaos. 6 5 1/4 IBM PC floppy diskettes + ATRS program for research workers. Harwood Academic Press, N.Y., 1988 Seydel R. BIFPACK : A program package for calculating bifurcations. State University of New York at Buffalo, 2nd version, 1985. Seydel R. BIFPACK : A program package for continuation, bifurcation, and stability analysi s. Universit­t W¾rzburg, W¾rzburg, Germany, version 2.3, 1989 Shaw R. S. Split Starker films, Santa Cruz, Ca, 1988 Sipson R. F. Dynamic Analyzer Requires IBM PC or 256K RAM and CGA graphics. Physics Academic Software, Raleigh, NC, 1993 Sprott J. C. and Rowlands G. Chaos Demonstrations V. 2.0 Requires IBM PC or 256K RAM and CGA graphics. Physics Academic Software, Raleigh, NC, 1993 Sprott J. C. and Rowlands G. Chaos Data Analyzer Requires IBM PC or 256K RAM and CGA graphics. Physics Academic Software, Raleigh, NC, 1993 Sprott J.C. The Wonders of Physics 1990 : Chaos Chaos Videotapes ,VHS format American Institute of Physics, N.Y., 1990 Stahl M. Fraktale Experte mit mathematische Graphik. Julia und Mandelbrotmengen auf den P C Vogel, 1991 Stevens R.T. Fractal Programming in C M and T Books, Redwood City, Ca, 1989 Stevens R.T. Fractal Programming in Turbo Pascal M and T Books, Redwood City, Ca, 1990 Stevens R.T. Advanced Fractal Programming in C M and T Books, Redwood City, Ca, 1990 Stewart H. B. The Lorenz System ( 16 mm.) Aerial Press,Santa Cruz, Ca, 1984 V Vicsek M. and Vicsek T. Fractal Growth Software 12 programs for IBM XT/AT and PC. World-Scientific, Singapore, 1991 Y Yorke J. DYNAMICS Software package for IBM-PC University of Maryland, College Park, MD, 1988 W Wegner T. and Peterson M. Fractint (free ware) Compuserve, 1992 Wolf A. CHAOS Software package , MS-DOS Dpt. of Physics, Cooper Union, New York, N.Y.-10003, 1990 IV.Popular Bass Th. A. The Newtonian Casino Longmann, London, 1990 Bass Th. A. Der las Vegas Coup. Computergenies spreugen die bank Birkh¯user, Basel, 1991 Bessant C. Computers and Chaos for all AMIGA computers Sigma Press, Wilmslow, U.K., 1993 Briggs J. and Peat F.D. Turbulent Mirror Harper and Row, N.Y., 1989 Briggs J. and Peat F.D. Die Entdeckung des Chaos. Eine Reise durch die Chaos-Theorie. Hauser, 1991 Capelin S. and Davies P. (eds.) The New Physics Cambridge University Press, Cambridge, 1986 Casti J. Searching for Certainty: What Scientits Can Know About the Future Morrow, New York, 1991 Corwin T. M. and Wachoniak D. G. The Universe:From Chaos to Conciousness Harcourt Brace Jovanovich, San Diego, California, 1989 Coveney P. and Highfield R. The Arrow of Time W.H. Allen, London, 1990 Cramer F. Chaos und Ordnung. Die komplexe Struktur des Lebendigen Deutsche Verlags-Anstalt, Stuttgart, 1989 ýambel A.B. Applied Chaos Theory. A Paradigm for Complexity Academic Press, San Diego, 1993 Davies P. Prinzip Chaos. Die neue Ordnung des Kosmos C.Bertelsmann, M¾nchen,1988 Davies P. The Cosmic Blue Print Unwin Paperbacks, 1989 Ebeling W. Chaos-Ordnung-Information Verlag Harri Deutsch, Frankfurt, 1989 Ehrlich R. Turning the World Inside Out and 174 Other Simple Physics Demonstrations. Princeton University Press, Princeton, NJ, 1990 Ekeland I. Le calcul, l'impršvu Le Seuil, Paris, 1983 Field M. and Golubitsky M. Symmetry in Chaos A Search for Pattern in Mathematics, Art and Nature Oxford University Press, Oxford, 1992 Gerok W. (ed.) Ordnung und Chaos in der unlbelebten und belebten Natur S. Hirzel, Stuutgart, 1989 Gleick J. Chaos:Making a New Science Viking Press, (USA), 1987 Heineman , London, 1988 Cardinal Press, (UK), 1989 Hagenmaier O. Der Goldene Schnitt Moos, M¾nchen, 1984 K¾ppers B.-O. (ed.) Ordnung aus dem Chaos. Prinzipen der Selbstorganisation und Evolution des Lebens Piper, M¾nchen, 1987 Lewin R. Complexity: Life at the Edge of Chaos Macmillan, New York, 1992 Lions J.-J. El Planeta Tierra. El Papel de las Matematicas y de los Super Ordenadores (The Earth Planet. The RÙle of the Mathematics and Supercomputers) Instituto de EspaÛa-Espasa Calpe, Madrid, 1990 (In Spanish) Mayer-Kuckuck Theo Der Gebrochene Spiegel. Symmetrie, Symmetrie Ordnung und Ordnung in der Natur. Birkh¯user, Basel, 1989 McGuire Michael An Eye for Fractals. A Graphic and Photographic Essay Addison-Wesley, Reading, Mass., 1991 Morfill G. and Scheigraber H. Chaos ist ¾berall... und es funktioniert. Eine Neueweltsicht. Ullstein, Frankfurt, 1991 Peitgen H.-O., J¾rgens H., Saupe D. and Zahlen C. Fractals. An animated Discussion with Edward Lorenz and Benoit Mandelbrot Freeman, New York, 1990 Peitgen H.-O., J¾rgens H., Saupe D. and Zahlen C. Fraktale in Filmen und Gespr¯chen Spektrum der Wissensschaften Videothek, Heidelberg,1990 Pickover C. Computers, Pattern, Chaos and Beauty : Graphics from an unseen world. St Martin's Press, New York, 1990 Pickover C. The Pattern Book : a catalog of visually interesting patterns from many different fields To be published Peterson I. The Mathematical Tourist Freeman, New York, 1988 Poundstone W. The recursive Universe: Cosmic complexity and the limits of scientific knowledge Contemporary Books, Chicago, 1985 Prigogine I. >From Being to Becoming: Time and Complexity in the Physical Sciences W. H. Freeman, San Francisco, 1980 Prigogine I. Physique, temps et devenir Masson, Paris, 1980 Prigogine I. and Stengers I. Order out of Chaos Heinemann, 1984 Regis E. Who got Einstein's Office ? Addison-Wesley, Reading, Mass., 1987 Ruhla C. La Physique du Hasard.De Blaise Pascal Ú Niels Bohr Hachette, Paris, 1989 SchrÓder M. Fractals, Chaos, Power laws. Minutes from an infinite paradise W.H.Freeman, N.Y., 1991 Schwenk T. Sensitive Chaos Schocken Books, New York, 1976 Sharkovskii A. N. , Ivanov A. F. and Sivak A. G. Surprising World of Dynamical Systems Naukova Dumka, Kiev, 1989 (In Russian) Stewart I. Les Fractals Berling Press, 1982 (In French) Stewart I. The Problems of Mathematics Oxford University Press, Oxford, 1987 Stewart I. Does God play Dice? The Mathematics of Chaos Basil Blackwell, Oxford, 1989 Stewart I. Game, Set, and Math Basil Blackwell, Oxford, 1989 Stewart I. and Golubitsky M. Fearful Symmetry: Is God a Geometer ? Basil Blackwell, Oxford,1992 Waldrop M.Mitchell Complexity: The Emerging Science at the Edge of Order and Chaos Simon & Schuster, New York, 1992 West B. J. An Essay on the Importance of Being Nonlinear Springer-Verlag, Berlin, 1985 Wiis-Nielsen A. C. Forudsiglighed om Graenserne for Videnskab (Research in the frontiers of the science) NYSYN, Munksgaard, 1987(In Danish) Zeldovich Ya. B. , Ruzmaikin A.A. and Sokoloff P.D. The Almighty Chance World Scientific, Singapore, 1990 B. RESOURCE LETTER ON SOLITONS I.TEXTS AND MONOGRAPHS A Abdullaev F. Kh.and Khabibullaev P. Kh. Dynamics of Solitons in Inhomogeneous Condensed Matter Fan, Tashkent, 1986 (In Russian) Abdullaev F. Kh.and Khabybullaev P. Kh. Opticheskiye Solitoni (Optical Solitons) Fan, Tashkent, 1987 (In Russian) Ablowitz M. J. and Segur H. Solitons and The Inverse Scattering Transform SIAM, Philadelphia, 1981 Ablowitz M. J. and Clarkson P. A. Solitons, Nonlinear Evolution Equations and Inverse Scattering Cambridge University Press, Cambridge, 1991 Agranovich Z. S. and Marchenko V. A. The Inverse Problem of Scatering Theory Gordon and Breach, N.Y., 1964 Anderson R. L. and Ibragimov N. H. Lie-B¯cklund Transformation in Applications SIAM, Philadelphia, 1979 B Baeriswyl D. and Bishop A. Solitons and Polarons in Solid State Physics World Scientific, Singapore, 1989 Balachandran A. P., Marmo G. Skagerstam B. S. and Stern A. Classical Topology and Quantum States World Scientific, Singapore, 1990 Bathnagar P. L. Nonlinear Waves in One-Dimensional Dispersive Systems Clarendom Press, 1979 C Calogero F. and Degasperis A. Spectral Transforms and Solitons North-Holland, Amsterdam, 1982 D Dautray R. and Lions J.-L. Mathematical Analysis and Numerical Methods for Science and Technology Volume 5: Evolution Problems I Volume 6: Evolution Problems II Springer-Verlag, Berlin, 1991 Das A. Integrable Models World Scientific, Singapore, 1989 Davydov A. S. Solitony v molekulyarnykh sistemakh Naukova Dumka, Kiev, 1st ed.1984, 2nd ed. 1988 (In Russian) Davydov A. S. Solitons in Molecular Systems Reidel, Dordrecht, 1985 Kluwer Academic Pub., Dordrecht, The Netherlands, 2nd ed.,1991 Davydov A. S. Solitony v bioenergetike Naukova Dumka, Kiev, 1986 (In Russian) Dickey L. A. Soliton Equations and Hamiltonian Systems World Scientific, Singapore, 1990 Dodd R. K., Eilbeck J. C., Gibbon J. D. and Morris H. C. Solitons and Nonlinear Wave Equations Academic Press, N.Y., 1982 Drazin P. G. Solitons Cambridge University Press, Cambridge, 1983 Drazin P. G. and Johson R. S. Solitons:An Introduction Cambridge University Press, Cambridge, 1989 E Eckhaus W. and Van Harten A. The Inverse Scattering Transformation and the Theory of Solitons: An Introductio n North Holland, Amsterdam, 1981 Eilenberg G. Solitons. Mathematical Methods for Physicists Springer-Verlag, Berlin, 2nd corr. print., 1983 Engelbrecht J. Nelineinye evolutsionnye uravneniya Akad. Nauk. Eston. SSR, Tallin, 1984(In Russian) Engelbrecht J. Nonlinear Evolution Equations Longman, London, 1988 F Filipov A. T. The Multifaced Soliton Nauka, Moskva, 1986.(In Russian) Fomenko A. T. Integrability and Nonintegrability in Geometry and Mechanics Kluwer Academic Pub., Dordrecht, The Netherlands, 1988 Fritz J. Nonlinear Wave Equations, Formation of Singularities American Mathematical Society, Providence, R I, 1990 H Haraux A. Nonlinear Evolution Equations. Global Behavior of Solutions Springer-Verlag, berlin, 1981 Hasegawa A. Optical Solitons in Fibers Springer-Verlag, Berlin, 1989 I Infeld E. and Rowlands G. Nonlinear Waves, Solitons and Chaos Cambridge University Press, Cambridge, 1990 K Karpman V. I. Nelineinue Volny v dispegiruyustchikh sredakh (Nonlinear Waves in dispersive media) Nauka, Moskva, 1973.(In Russian) Karpman V. I. Nonlinear Waves in dispersive media Pergamon Press, Elmsford, 1975 Kivshar Yu.S., Konotop V.V. and Vazquez L. Linear and Nonlinear Random Waves World-Scientific, Singapore, 1993 Konopelchenko B.G. Introduction to Multidimensional Integrable Equations: The Inverse Spectral Tran sform in 2+1 Dimensions Plenum, N.Y., 1992 Kosevich A. M., Ivanov B. A., and Kovalev A. S. Nonlinear Waves of Magnetism.Dynamical and topological solitons. Naukova Dumka, Kiev, 1983.(In Russian) L Lamb G. L. Elements of Soliton Theory Wiley-Interscience, N.Y., 1980 Leble S. B. Nonlinear Waves in Waveguides with Startification Springer-Verlag, Berlin, 1991 M Makhankov V. G. Soliton Phenomenology Kluwer Academic Pub., Dordrecht, The Netherlands, 1990 Matveev V.B. and Salle M.A. Darboux Transformations and Solitons Springer-Verlag, Berlin, 1991 Morosanu G. Nonlinear Evolution Equations and Applications Kluwer Academic Pub., Dordrecht, The Netherlands, 1988 Moser J. Integrable Hamiltonian Systems and Spectral Theory Academia Nazionale dei Lincei, Pisa, 1981 N Novikov S., Manakov S. V., Pitaevskii L. P. and Zakharov V. E. Theory of Solitons: The Inverse Scattering Method Consultanys Bureau, N Y, 1984 Newell A. C. Envelope Equations American Mathematical Society, Providence, RI, 1974 Newell A. C. Solitons in Mathematics and Physics SIAM, Philadelphia, 1985 R Rabinovich M. I. and Trubetskov D. I. Vveddenie v teoriyu kolebaniy i voli (Introduction to the Theory of Oscillations and Waves) Nauka, Moscow, 1984 (In Russian) Rabinovich M. I. and Trubetskov D. I. Oscillations and Waves in Linear and Nonlinear Systems Kluwer Academic Pub., Dordrecht, The Netherlands, 1989 Racke R. Lectures on Nonlinear Evolution Equations Vieweg Verlag, Wiesbaden, Germany, 1992 Rajaraman R. Solitons and Instantons North-Holland, Amsterdam, 1982 Rogers C. and Shadwick W. F. B¯cklund Transformations and their Applications Academic Press, N.Y., 1982 Rosinger E. E. Non-Linear Partial Differential Equations. An Algebraic View of Generalized Solu tions North-Holland, Amsterdam, 1991 S Scott A. C. Active and Nonlinear Wave Propagation in Electronics Wiley-Interscience, N.Y., 1970 Schuur P. C. Asymptotic Analysis of Soliton Problems Springer-Verlag, Berlin, 1986 Spatschek K.H. Dynamical Chaos of Solitons. An Introduction to Perturbed Soliton Systems World-Scientific, Singapore, 1993 Strauss W. A. Nonlinear Wave Equations American Mathematical Society, Providence, RI, 1989 T Takhtayan L. A. and Faddeev L. D. Gamil'tonov podkhod v teorii solitonov Nauka, Moskva, 1986.(In Russian) Takhtayan L. A. and Faddeev L. D. Hamiltonian Methods in the Theory of Solitons Springer-Verlag, Berlin, 1987 Toda M. Nonlinear Lattice Mechanics Iwanami Shten, Tokyo, 1978; 2nd ed. 1987.(In Japanese) Toda M. Theory of Nonlinear Lattices Springer-Verlag, Berlin, 1981; 2nd ed. 1988. Toda M. Hisenkei Hado to Soriton(Nonlinear Waves and Solitons) Nihon Hyoron Sha, Tokyo, 1983.(In Japanese) Toda M. Nonlinear Waves and Solitons Kluwer Academic Pub., Dordrecht, The Netherlands, 1989 V Vishik M.I. Asymptotic Behaviour of Solutions of Evolutionary Equations Cambridge University Press, Cambridge, 1993 W Whitham G. B. Linear and Nonlinear Waves Wiley-Interscience, N. Y., 1974 Wilets L. Nontopological Solitons World Scientific, Singapore, 1989 Z Zakharov V. E., Manakov S. V., Novikov S. P. and Pitaevsky L. P. Teoriya Solitonov. Metod Oblatnoy Zadatchi Nauka, Moskva, 1980.(In Russian) Zakharov V. E., Manakov S. V., Novikov S. P. and Pitaevsky L. P. Soliton Theory Plenum Press, N.Y., 1984 II.Paper Collections and Proceedings A Ablowitz M., Fuchssteiner B., Kruskal M. (eds.) Topics in Soliton Theory and Exactly Solvable Nonlinear Equations World Scientific, Singapore, 1987 Ames W. F. (ed.) Proc.Symp.on Nonlinear Differential Equations Academic Press, New York, 1967 Ames W. F. and Rogers C. (eds.) Nonlinear Equations in the Applied Sciences Academic Press, New York, 1992 Arnol'd V. I. and Novikov S. P. (eds.) Itogi nauki i tekhniki sovremennye problemy matematiki.Fundamental'nye napravlen iya. Vol. 4 .Dinamicheskie sistemy VINITI, Moskva, 1985(In Russian) Arnol'd V. I. and Novikov S. P. (eds.) Dynamical Systems IV Springer-Verlag , Berlin, 1990 B Balabane M., Lochak P. and Sulem C. (eds.) Integrable Systems and Applications Springer-Verlag, Berlin, 1989 Barthes M. and Leon J. (eds.) Nonlinear Coherent Structures Springer-Verlag, Berlin, 1990 Bar'yakhtar V. G., Chernousenko V. M., Erokhin N. S., Sitenko A. G. and Zakharov V. E. (eds.) Plasma Theory and Nonlinear and Turbulent Processes in Physics (2 Vol.) World Scientific, Singapore, 1988 Beals M., Melrose R.B. and Rauch J.(eds.) Microlocal Analysis and Nonlinear Waves Springer Verlag, Berlin, 1991 Bednar J. B. et al. (eds.) Conference on Inverse Scattering: Theory and Applications SIAM, Philadelphia, 1983 Bernasconi J. and Schneider T. (eds.) Physics in One Dimension Springer-Verlag, Berlin, 1981 Bishop A. and Schneider T. (eds.) Soliton and Condensed Matter-Physics Springer-Verlag, Berlin, 1978 Bishop A. R. , Campbell D. K. and Pnevmatikos S. (eds.) Nonlinear Problems: Present and Future North-Holland , Amsterdam, 1982 Bishop A. R. , Campbell D. K. and Nicolaenko B. (eds.) Disorder and Nonlinearity Springer-Verlag, Berlin, 1989 Blanchard Ph., Dias J.-P. and Stubbe J. (eds.) New Methods and Results in Non-linear Field Equations Springer-Verlag, Berlin, 1989 Boiti M., Pempinelli F. and Soliani G. (eds.) Nonlinear Evolution Equations and Dynamical Systems Springer-Verlag, Berlin, 1980 Bullough R. and Caudry P. (eds.) Solitons Springer-Verlag, Berlin,1980. Busse F. H. and Kramer L.(eds.) Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Syst ems Plenum Press, N.Y., 1990 C Calogero F. (ed.) Nonlinear Evolution Equations solvable by the Spectral Transform Pitman, London, 1978 Campbell K. K. and Newell C. C.(eds.) Solitons & Coherent Structures:Dedicated to Martin D. Kruskal on the Ocassion oh his 60th Birthday Elsevier, Amsterdam, 1986 Carrillo S. and Ragnisco O. (eds.) Nonlinear Evolution Equations and Dynamical Systems Springer-Verlag, Berlin, 1990 Cazenave T. An Introduction to Nonlinear SchrÓdinger Equation IMUFRJ, Rio de Janeiro, 1989 Christiansen P. L.and Parmentier R. D. (eds.) Structure, Coherence and Chaos in Dynamical Systems Manchester University Press, Manchester, 1989 Conte R. and Boccara N. (eds.) Partially Integrable Nonlinear Evolution Equations in Physics Kluwer Academic Pub., Dordrecht, The Netherlands, 1990 D Debnath L. (ed.) Nonlinear Waves Cambridge University Press, Cambridge, 1983 Debnath L. (ed.) Advances in Nonlinear Waves Pitman, London, 1984 Debnath L. (ed.) Nonlinear Dispersive Wave Systems Worls Scientific, Singapore, 1992 Degasperis A., Fordy A. P., Laksmanan P. (eds.) Nonlinear Evolution Equations : Integrability and Spectral Methods. Manchester University Press, Manchester, 1989 Dold A. and Eckmam B. (eds.) B¯cklund Transformations Springer-Verlag, Berlin, 1976 Dyachenko A. I., Pushkarev A. N., Shvets V. F. et al.(eds.) Nonlinear and Turbulent Processes in Physics Naukova Dumka, Kiev, 1989 E Engelbrecht J. (ed.) Nonlinear Waves in Active Media Springer-Verlag, Berlin, 1989 Enns R. H., Jones B. L. , Miura R. M. and Rangnekar S. S. (eds.) Nonlinear Phenomena in Physics and Biology Plenum Press, N.Y., 1981 F Fokas T. and Zakharov V.E. (eds.) Important Developments in Soliton Theory 1980-1990 Springer-Verlag, Berlin, 1992 Flaschka H. and Mclaughin D. N. (eds.) The Theory and Application of Solitons Rocky Mountain Journal of Mathematics, Vol 8, issues 1,2,. 1978 Fordy A. L. (ed.) Soliton Theory : a survey of results Manchester University Press, Manchester, 1989 G Gaponov-Grekhov A. V.(ed.) Nonlinear Waves Nauka, Moskva, 1979(In Russian) Gaponov-Grekhov A. V.(ed.) Nelineinye Volny : Rasprostranenie i Vzaimodeistbie Nauka, Moskva, 1981(In Russian) Gaponov-Grekhov A. V.and Rabinovich M. I.(eds.) Nonlinear Waves : Selforganization Nauka, Moskva, 1983(In Russian) Gaponov-Grekhov A. V.and Rabinovich M. I.(eds.) Nonlinear Waves : Structures and Bifurcations Nauka, Moskva, 1987(In Russian) Gaponov-Grekhov A. V., Rabinovich M. I. and Engelbrecht J.(eds.) Nonlinear Waves 1 : Dynamics and Evolution. Springer-Verlag , Berlin, 1989 Gaponov-Grekhov A. V., Rabinovich M. I. and Engelbrecht J.(eds.) Nonlinear Waves 2 : Dynamics and Evolution Springer-Verlag , Berlin, 1989 Gaponov-Grekhov A. V., Rabinovich M. I. and Engelbrecht J.(eds.) Nonlinear Waves 3 : Physics and Astrophysics Springer-Verlag , Berlin, 1990 Ge M. L. and Song X. C. (eds.) Integrable systems World Scientific, Singapore, 1989 Guttinger W. and Kemeier H. E. (eds.) Structural Stability in Physics Springer-Verlag, Berlin, 1979 J Jimbo M. and Miwa T. (eds.) Proc.RMS Symposium on Nonlinear Integrable Systems-Classical and Quantum Theory World Scientific, Singapore, 1983 K Keyfitz B.L. and Shearer M. (eds.) Nonlinear Evolution Equations that Change Type. Springer-Verlag, Berlin, 1990 Kupershmidt B. A. Integrable and Superintegrable Systems World Scientific, Singapore, 1990 Kursunoglou B. , Perlmutter A. and Scott L. F. (eds.) The Significance of Nonlinearity in the Natural Sciences Plenum Press, N.Y., 1977 L Lakshmanam M. (ed.) Solitons: Introduction and Applications Springer-Verlag, Berlin, 1987 Lam L. and Prost J. (eds.) Solitons in Liquid Crystals Springer-Verlag, Berlin, 1990 Leach P. G. L. and Steeb W. H. (eds.) Finite Dimensional Integrable Nonlinear Dynamical Systems World Scientific, Singapore, 1988 Lee Y. C., Chemg H. H. , Lee T. T. and Qian S. N. (eds.) Solitons and Turbulence:Chaos in infinite Dimensional Systems Kiev 1983, Gordon and Breach Leibovich S. and Seebass A. R. (eds.) Nonlinear Waves Cornell University Press, Ithaca, 1974 Leibovich S. and Seebass A. R. (eds.) Nelineinye Volny Mir, Moscow, 1977 (In Russian) Leon J. J. P.(ed.) Nonlinear Evolutions World Scientific, Singapore, 1988 Li T.-T. and Mottoni P. de (ed.) Qualitative Aspects and Applications of Nonlinear Evolution Equations World Scientific, Singapore, 1991 Lonngren K. and Scott A. C. (eds.) Solitons in Action Academic Press, N.Y., 1978 M Makhankov V. G., Fedyanin V. K. and Pashaev O. K.(eds.) Solitons and Applications World Scientific, Singapore, 1988 Makhankov V. G., Fedyanin V. K. and Pashaev O. K.(eds.) Solitons and Applications. Proceedings of the 4th International Workshop Dubna, USSR World Scientific, Singapore, 1990 Makhankov V.G. and Pashaev O.K. (eds.) Nonlinear Evolution Equations and Dynamical Systems. NEEDS Ë90 Springer-Verlag, Berlin, 1991 Martini R. (ed.) Geometric Aspects of the Einstein Equations and Integrable Systems Springer-Verlag, Berlin, 1985 Miura R.(ed.) B¯cklund Transformations:Transformations, The Inverse Scattering Method, Soliton s and Their Applications Springer-Verlag, Berlin, 1976 N Newell A. C. (ed.) Nonlinear Wave Motion American Mathematical Society, Providence, R I , 1974 Nigul V. and Engelbrecht J. (eds.) Nonlinear Deformation Waves Springer-Verlag, Berlin, 1983 Nihoul J. C. J and Jamart B. M. (eds.) Mesoscale/Synoptic coherent structures in Geophysical Turbulence Elsevier, Amsterdam, 1989 O Olver P.J. and Sattinger D.H. (eds.) Solitons in Physics, Mathematics and Nonlinear Optics Springer-Verlag, Berlin, 1990 Osborne A. R. and Bergamasco L. (eds.) Nonlinear Topics in Ocean Physics:Proceedings of the Fermi School North-Holland, Amsterdam, 1989 P Perelomov A. M. Integrable Systems of Classical Mechanics and Lie Algebras Birkh¯user Verlag, Berlin, 1990 Pnevmatikos S. (ed.) Singularities and Dynamical Systems North-Holland, Amsterdam, 1984 Pnevmatikos St., Bountis T. and Pnevmatikos S. (eds.) Singular behaviour and Non Linear Dynamics (2 Vols) World Scientific, Singapore, 1989 R Rabinovich M.I.(ed.) Nonlinear Waves : Stochasticity and Turbulence IPF AN SSSR, Gorki, 1980(In Russian) S Sabatier P. C. (ed.) Inverse Problems in Nonlinear Evolution. CNRS, Paris, 1980 Sagdeev R. Z. (ed.) Nonlinear and Turbulent Processes in Physics Vols 1-3 Harwood Academic Press, N.Y., 1984 Satsuma J. ,Takeno S. and Wadati M. (eds.) Recent Developments in Soliton Theory Progress in Theoretical Physics.Supplement Nø 94, Kyoto, 1988 Steeb W.-H. and Euler N. (eds.) Nonlinear Evolution Equations and Painlevš Test. World Scientific, Singapore, 1989 T Takeno S. (ed.) Dynamical Problems in Soliton Systems Springer-Verlag, Berlin, 1985 Trullinger S. E., Zakharov V. E. and Pokrovsky V. L. (eds.) Solitons North-Holland, Amsterdam, 1986 W Wolf K. B. (ed.) Nonlinear Phenomena Springer-Verlag, Berlin, 1983 Wu T. Y. and Hutchinson J. W. (eds.) Advances in Applied Mechanics Academic Press, N.Y., 1989 Y Yates G. T. (ed.) Engineering Science, Fluid Dynamics A Symposium to Honor Y. T. Wu World Scientific, Singapore, 1990 Yu L. (ed.) Solitons and Polarons in Conducting Polymers World Scientific, Singapore, 1988 Z Zakharov V. E. (ed.) What is Integrability ? Springer-Verlag, Berlin, 1990 III.Video, Film and Software Eilbeck J. C. (1973) Solitons and Bions In Nonlinear Optics Eilbeck J. C. (1975) Numerical Solutions of the Regularized Long-Wave Equation. Eilbeck J. C. (1977a) Boomerons. Eilbeck J. C. (1977b) Zoomerons. Eilbeck J. C. (1978) Two-Dimensional Solitons. Eilbeck J. C. (1981) Nonlinear Evolution Equations. Eilbeck J. C. (1982) Nonlinear Interactions in the _ 4 model. Eilbeck J. C. , Lomdahl P. S. (1982) Sine-Gordon Solitons. Professor J. C. Eilbeck Dpt. of Mathematics Heriot-Watt University Riccarton, Edinburgh EH14 4A5, U.K. Eilbeck J. C. Davydov Solitons 16 mm film available from : Swift Film Productions I Wool Road Wimbledom London SW 2000 HM, U.K. Zabusky N. J. , Kruskal M. D. and Deem G. S. (1965) Formation, Propagation and Interaction of Solitons.(Numerical Solutions of Diffe rential Equations Describing Wave Motions in Nonlinear Dispersive Media) Bell Telephone Labs. Inc.; Film Library, Murray Hill, NJ 07971 USA IV. Popular Briggs J. and Peat F.D. Turbulent Mirror Harper and Row, N.Y., 1989 Emmerson G. S. J.S.Russell, A Biography John Murray, London, 1971 Kovalevskaya S. A Russian Childhood Springer-Verlag, Berlin, 1978 C. JOURNALS : Campbell D. K. ( Editor-in-Chief ) Chaos An International Journal of Nonlinear Science American Institute of Physics, New York, Since 1991 Chua L. O. ( Editor ) International Journal of Bifurcation and Chaos in Applied Sciences and Engineering World Scientific, Singapore, Since 1991 Flaschka H. (Coord. Ed. ) Physica D: Nonlinear Phenomena North-Holland, Amsterdam, The Netherlands Gibbon J.D. and Rand D.A.( Honorary Editors ) Nonlinearity Institute of Physics, Bristol, UK, Since 1988 Holmes P. and Stewart I.( Managing Editors ) Nonlinear Science Today Springer-Verlag, Berlin, Since 1991 El Naschie M. (ed.) Chaos, Solitons and Fractals : Applications in Science and Engineering Pergamon Press, Oxford, Since 1991 Mandelbrot B.B.(Honorary Editor) Fractals. An Interdisciplinary Journal on the Complex Geometry of Nature World Scientific, Singapore, Since 1992 Nayfeh A.H. (Editor-in-chief) Nonlinear Dynamics An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems Kluwer Academic Pub., Dordrecht, The Netherlands Pickover C. (ed.) Chaos and Graphics Section of the International Journal of Computers and Graphics Pergamon Press, Oxford, U.K. Wiggins S. R. and Kuznetsov E. A.( Managing Editors ) Journal of Nonlinear Science Springer-Verlag, Berlin, Since 1991