图书介绍
动力系统PDF|Epub|txt|kindle电子书版本网盘下载
- （德）约斯特（Jurgen，J.）著 著
- 出版社： 北京：科学出版社
- ISBN：7030166884
- 出版时间：2006
- 标注页数：190页
- 文件大小：83MB
- 文件页数：200页
- 主题词：动力系统（数学）－英文
PDF下载
下载说明
动力系统PDF格式电子书版下载
下载的文件为RAR压缩包。需要使用解压软件进行解压得到PDF格式图书。建议使用BT下载工具Free Download Manager进行下载,简称FDM(免费,没有广告,支持多平台）。本站资源全部打包为BT种子。所以需要使用专业的BT下载软件进行下载。如BitComet qBittorrent uTorrent等BT下载工具。迅雷目前由于本站不是热门资源。不推荐使用！后期资源热门了。安装了迅雷也可以迅雷进行下载！
（文件页数 要大于 标注页数，上中下等多册电子书除外）
注意：本站所有压缩包均有解压码： 点击下载压缩包解压工具
图书目录
1 Introduction1
2 Stability of dynamical systems,bifurcations,and generic properties7
2.1 Some general notions7
2.2 Autonomous systems of ODEs9
2.3 Examples:Bifurcation depending on a parameter λ∈R15
2.4 Chaos in difierential and difierence equations.The concept of an attractor22
2.5 Interaction.or the interplay between concentration or reaction and diffusion36
2.6 Discrete and continuous systems.The Poincaré return map41
2.7 Stability and bifurcations;generic properties42
2.8 The Hopf bifurcation46
2.9 Lotka-Volterra equations48
2.10 Stable,unstable,and center manifolds52
3 Discrete invariants of dynamical systems61
3.1 The topology of graphs61
3.2 Floer homology62
3.3 Conley theory:examples and results70
3.4 Cohomological Conley index77
3.5 Homotopical invariants80
3.6 Continuation properties of the Conley index92
3.7 The discrete Conley index93
4 Entropy and topological aspects of dynamical systems99
4.1 The entropy of a process as an asymptotic quantity99
4.2 Positive entropy and chaos103
4.3 Symbolic dynamics108
5 Entropy and metric aspects of dynamical systems111
5.1 The metric approach to topological entropy111
5.2 Complexity and intrinsic scales114
6 Entropy and measure theoretic aspects of dynamical systems119
6.1 Probability spaces and measure preserving maps119
6.2 Ergodicity121
6.3 Entropy and information126
6.4 Invariant measures138
6.5 Stochastic proeesses142
6.6 Stochastic bifurcations149
7 Smooth dynamical systems153
7.1 Lyapunov exponents153
7.2 Hyperbolicity156
7.3 Information loss165
8 Cellular automata and Boolean networks as examples of discrete dynamical systems169
8.1 Cellular automata169
8.2 Boolean networks175
References181
Index185