☆☆☆☆☆
简体网页||繁体网页



点击这里下载

类似图书 点击查看全场最低价

---

内容简介

　　基于对某些重要例子的严格分析，《国外数学名著系列7（影印版）：动力系统》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，《国外数学名著系列7（影印版）：动力系统》阐释了动力系统中的基本数学概念。
　　《国外数学名著系列7（影印版）：动力系统》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。
　　《国外数学名著系列7（影印版）：动力系统》还论述了细胞自动机和随机布尔网络等特殊例子。

内页插图

目录

1 Introduction

2 Stability of dynamical systems bifurcations and generic properties
2．1 Some general notions
2．2 Autonomous systems of ODEs
2．3 Examples： Bifurcation depending on a parameter
2．4 Chaos in differential and difference equations． The concept of an attractor
2．5 Interaction or the interplay between concentration or reaction and diffusion
2．6 Discrete and continuous systems． The Poincare return map
2．7 Stability and bifurcations; generic properties
2．8 The Hopf bifurcation
2．9 Lotka-Volterra equations
2．10 Stable unstable and center manifolds

3 Discrete invariants of dynamical systems
3．1 The topology of graphs
3．2 Floer homology
3．3 Conley theory： examples and results
3．4 Cohomological Conley index
3．5 Homotopical invariants
3．6 Continuation properties of the Conley index
3．7 The discrete Conley index

4 Entropy and topological aspects of dynamical systems
4．1 The entropy of a process as an asymptotic quantity
4．2 Positive entropy and chaos
4．3 Symbolic dynamics

5 Entropy and metric aspects of dynamical systems
5．1 The metric approach to topological entropy
5．2 Complexity and intrinsic scales

6 Entropy and measure theoretic aspects of dynamical systems
6．1 Probability spaces and measure preserving maps
6．2 Ergodicity
6．3 Entropy and information
6．4 Invariant measures
6．5 Stochastic processes
6．6 Stochastic bifurcations

7 Smooth dynamical systems
7．1 Lyapunov exponents
7．2 Hyperbolicity
7．3 Information loss

8 Cellular automata and Boolean networks as examples of discrete dynamical systems
8．1 Cellular automata
8．2 Boolean networks

References
Index

前言/序言

国外数学名著系列7（影印版）：动力系统 [Dynamical Systems] 电子书 下载 mobi epub pdf txt

评分☆☆☆☆☆

评分☆☆☆☆☆

评分☆☆☆☆☆

评分☆☆☆☆☆

评分☆☆☆☆☆

评分☆☆☆☆☆

评分☆☆☆☆☆

评分☆☆☆☆☆

评分☆☆☆☆☆

类似图书 点击查看全场最低价