基本信息
- 原书名：Concepts and Results in Chaotic Dynamics: A Short Course
- 原出版社： Springer
- 作者： Pierre Collet Jean-Pierre Eckmann
- 丛书名： 国外数学名著系列(影印版)
- 出版社：科学出版社
- ISBN：9787030313898
- 上架时间：2014-6-25
- 出版日期：2011 年6月
- 开本：16开
- 页码：230
- 版次：1-1
- 所属分类：数学 > 专著及论文集、工具书
内容简介
书籍
数学书籍
The study of dynamical systems is a well established field. Having given graduate-level courses on the subject for many years, the authors have now written this book to provide a panorama of the aspects that are of interest to mathematicians and physicists alike.Avoiding belaboured proofs, the exposition concentrates instead on abundant illustrations and examples, while still retaining sufficient mathematical precision. Besides the standard topics of the field,questions of physical measurement and stochastic properties of chaotic dynamical systems are given much attention.
数学书籍
The study of dynamical systems is a well established field. Having given graduate-level courses on the subject for many years, the authors have now written this book to provide a panorama of the aspects that are of interest to mathematicians and physicists alike.Avoiding belaboured proofs, the exposition concentrates instead on abundant illustrations and examples, while still retaining sufficient mathematical precision. Besides the standard topics of the field,questions of physical measurement and stochastic properties of chaotic dynamical systems are given much attention.
目录
《混沌动力系统的概念和结果(英文影印版)》
1A Basic Problem
2Dynamical Systems
2.1Basics of Mechanical Systems
2.2Formal Definitions
2.3Maps
2.4Basic Examples of Maps
2.5More Advanced Examples
2.6Examples of Flows
3Topological Properties
3.1Coding, Kneading
3.2Topological Entropy
3.2.1Topological, Measure, and Metric Spaces
3.2.2Some Examples
3.2.3General Theory of Topological Entropy
3.2.4A Metric Version of Topological Entropy
3.3Attractors
4Hyperbolicity
4.1Hyperbolic Fixed Points
4.1.1Stable and Unstable Manifolds
1A Basic Problem
2Dynamical Systems
2.1Basics of Mechanical Systems
2.2Formal Definitions
2.3Maps
2.4Basic Examples of Maps
2.5More Advanced Examples
2.6Examples of Flows
3Topological Properties
3.1Coding, Kneading
3.2Topological Entropy
3.2.1Topological, Measure, and Metric Spaces
3.2.2Some Examples
3.2.3General Theory of Topological Entropy
3.2.4A Metric Version of Topological Entropy
3.3Attractors
4Hyperbolicity
4.1Hyperbolic Fixed Points
4.1.1Stable and Unstable Manifolds
