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  • ISBN：9787510032929
  • 装帧：一般胶版纸
  • 册数：暂无
  • 重量：暂无
  • 开本：16开
  • 页数：802
  • 出版时间：2011-04-01
  • 条形码：9787510032929 ; 978-7-5100-3292-9

本书特色

This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms.

内容简介

　　this book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. the authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms.
　　 the book begins with a discussion of several elementary but fundamental examples. these are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. the main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. the third and fourth parts develop in depth the theories of !ow-dimensional dynamic

目录

preface
0. introduction
1. principal branches of dynamics
2. flows, vector fields, differential equations
3. time-one map, section, suspension
4. linearization and localization
part 1examples and fundamental concepts
1. firstexamples
1. maps with stable asymptotic behavior
contracting maps; stability of contractions; increasing interval maps
2. linear maps
3. rotations of the circle
4. translations on the torus
5. linear flow on the torus and completely integrable systems
6. gradient flows
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