| Perspectives of Nonlinear Dynamics: Volume 1 Revised Edition Contributor(s): Jackson, E. Atlee (Author) |
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ISBN: 0521426324 ISBN-13: 9780521426329 Publisher: Cambridge University Press OUR PRICE: $85.49 Product Type: Paperback - Other Formats Published: January 1992 Annotation: In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. |
| Additional Information |
| BISAC Categories: - Science | Mechanics - Dynamics - Science | Mechanics - General - Mathematics | Applied |
| Dewey: 531.11 |
| Series: Perspectives of Nonlinear Dynamics |
| Physical Information: 1.17" H x 7.54" W x 9.76" (2.11 lbs) 520 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |