Linear Systems and Exponential Dichotomy Structure of Sets of Hyperbolic Points

Zhensheng Lin/ Yan-Xia Lin

ISBN 10: 9810242832 / ISBN 13: 9789810242831

Published by World Scientific Pub Co Inc, 2000

About this Item

200 pages. 9.00x6.50x0.50 inches. In Stock.

Seller Inventory # __9810242832

Bibliographic Details

• Title: Linear Systems and Exponential Dichotomy Structure of Sets of Hyperbolic Points
• Publisher: World Scientific Pub Co Inc
• Publication Date: 2000
• Language: English
• ISBN 10: 9810242832
• ISBN 13: 9789810242831
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.43 kilograms

About this title

Synopsis

Historically, the theory of stability is based on linear differential systems, which are simple and important systems in ordinary differential equations. The research on differential equations and on the theory of stability will, to a certain extent, be influenced by the research on linear differential systems. For differential linear equation systems, there are still many historical open questions attracting mathematicians. This book deals with the theory of linear differential systems developed around the notion of exponential dichotomies. The first author advanced the theory of stability through his research in this field.Several new important results on linear differential systems are presented. They concern exponential dichotomy and the structure of the sets of hyperbolic points. The book has five chapters: Chapter 1 introduces some necessary classical results on the linear differential systems, and the following chapters discuss exponential dichotomy, spectra of almost periodic linear systems, the Floquet theory for quasi periodic linear systems and the structure of sets of hyperbolic points. This book is a very useful reference in the area of the stability theory of ordinary differential equations and the theory of dynamic systems.