Perspectives of Nonlinear Dynamics, Vol. 1

Jackson, E. Atlee

ISBN 10: 0521426324 / ISBN 13: 9780521426329

Published by Cambridge University Press, 1992

About this Item

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Seller Inventory # Q-0521426324

Bibliographic Details

• Title: Perspectives of Nonlinear Dynamics, Vol. 1
• Publisher: Cambridge University Press
• Publication Date: 1992
• Language: English
• ISBN 10: 0521426324
• ISBN 13: 9780521426329
• Binding: paperback
• Condition: New
• Weight: 32 ounces

About this title

Synopsis

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.

From the Back Cover

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.