拓扑动力系统概论(Dynamical Systems )扫描版[DJVU]

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资源信息： 中文名: 拓扑动力系统概论 原名: Dynamical Systems 作者: Jost 图书分类: 科技 资源格式: DJVU 版本: 扫描版 出版社: Jost 书号: 3-540-22908-6 发行时间: 2005年 地区: 德国 语言: 英文 概述:

djvu 阅读器： http://windjview.sourceforge.net/ 内容简介： 基于对某些重要例子的严格分析，本书概述动力系统及其在复系统和其他领域研究中的意义。着重于动力系统中的不变量，如系统地论述Morse-Conley 理论，本书阐释了动力系统中的基本数学概念。本书讨论了熵及拓扑、度量、测度、光滑假设中与动力系统有关的概念，以及动力系统与信息论的某些联系。本书还论述了细胞自动机和随机布尔网络等特殊例子。 内容截图：

目录: 1introduction . 2stability of dynamical systems, bifurcations, and generic properties 21some general notions 22autonomous systems of odes 23examples: bifurcation depending on a paramet λεerr 24chaos in differential and difference equations the concept of an attractor 25interaction, or the interplay between concentration or reaction and diffusion 26discrete and continuous systems the poincare return map 27stability and bifurcations; generic properties 28the hopf bifurcation 29lotka-volterra equations 210 stable, unstable, and center manifolds 3discrete invariants of dynamical systems 31the topology of graphs 32floer homology.. 33conley theory: examples and results 34cohomological conley index .35homotopical invariants 36continuation properties of the conley index 37the discrete couley index entropy and topological aspects of dynamical systems 41the entropy of a process as an asymptotic quantity 42positive entropy and chaos 43symbolic dynamics entropy and metric aspects of dynamical systems 51the metric approach to topological entropy 52complexity and intrinsic scales 6entropy and measure theoretic aspects of dynamical systems 61probability spaces and measure preserving maps 62ergodicity 63entropy and information 64invariant measures 65stochastic processes 66stochastic bifurcations smooth dynamical systems 71lyapunov exponents 72hyperbolicity 73information loss cellular automata and boolean networks as examples of discrete dynamical systems 81cellular automata 82boolean networks references index.