Perspectives of Nonlinear Dynamics: Volume 1 by E. Atlee JacksonPerspectives of Nonlinear Dynamics: Volume 1 by E. Atlee Jackson

Perspectives of Nonlinear Dynamics: Volume 1

byE. Atlee Jackson

Paperback | January 31, 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; Poincaré maps and map-dynamics; empirical computational sciences vis-á-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.
Title:Perspectives of Nonlinear Dynamics: Volume 1Format:PaperbackDimensions:520 pages, 9.72 × 6.85 × 1.06 inPublished:January 31, 1992Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521426324

ISBN - 13:9780521426329

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Table of Contents

Preface; Acknowledgements; Concepts related to nonlinear dynamics: historical outline; 1. In the beginning ...; 2. A potpourri of basic concepts; 3. First order differential systems (n = 1); 4. Models based on first order difference equations; 5. Second order differential systems (n = 2); Appendices; Bibliography; References by topics; Index.

From Our Editors

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 and its companion volume, the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts.