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Perspectives of Nonlinear Dynamics: Volume 1 (Paperback)

Perspectives of Nonlinear Dynamics: Volume 1 By E. Atlee Jackson Cover Image
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This is book number 1 in the Perspectives of Nonlinear Dynamics series.

Description


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; Poincar maps and map-dynamics; empirical computational sciences vis- -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.


Product Details
ISBN: 9780521426329
ISBN-10: 0521426324
Publisher: Cambridge University Press
Publication Date: June 2nd, 1992
Pages: 520
Language: English
Series: Perspectives of Nonlinear Dynamics