现代动力系统理论导论

作者：[美]Anatole Katok

页数：802

出版社：世界图书出版公司

出版日期：2011

ISBN：9787510032929

电子书格式：pdf/epub/txt

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

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.

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