Perspectives of Nonlinear Dynamics

Jackson, E. Atlee

ISBN 10: 0521345049 / ISBN 13: 9780521345040

Published by West Nyack, New York, U.S.A.: Cambridge Univ Pr, 1989

About this Item

hardback book and dust jacket in near fine condition,dj in clear mylar protective sleeve.

Seller Inventory # 126379

Bibliographic Details

• Title: Perspectives of Nonlinear Dynamics
• Publisher: West Nyack, New York, U.S.A.: Cambridge Univ Pr
• Publication Date: 1989
• Language: English
• ISBN 10: 0521345049
• ISBN 13: 9780521345040
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Near Fine
• Dust Jacket Condition: Near Fine
• Seller catalogs:
  • mathematics
  • Science
  • Physics

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.

Book Description

The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts.