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Perspectives of Nonlinear Dynamics : Volume 1 - E. Atlee Jackson

Perspectives of Nonlinear Dynamics

Volume 1

Paperback

Published: 6th April 1992
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The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincare maps and map-dynamics; empirical computational sciences vis-a-vis mathematics; Ulam"s synergetics; Turing"s instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.

Preface
Acknowledgements
Models based on second order difference equations
Models based on third order differential systems
'Moderate-order' systems
Solitaires: solitons and nonsolitons
Coupled maps (CM) and cellular automata (CA)
Epilogue
Appendices
Bibliography
References
Cumulative Index (Volumes 1 and 2).
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521426329
ISBN-10: 0521426324
Series: Perspectives of Nonlinear Dynamics : Book 1
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 520
Published: 6th April 1992
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.7 x 17.4  x 2.7
Weight (kg): 0.92