Linear Systems And Exponential Dichotomy And Structure Of Sets Of Hyperbolic Points
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A01=Yan-xia Lin
A01=Zhensheng Lin
Author_Yan-xia Lin
Author_Zhensheng Lin
Category=PBKJ
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eq_isMigrated=2
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Exponential Dichotomy
Floquet Theory
Hyperbolic Points
Non Autonomous System
Point Spectra
Quasi-Periodic Linear System
Schmidt Method
Stability and Dynamical System
Structural Stability
Product details
- ISBN 9789810242831
- Publication Date: 03 May 2000
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
