书籍详情
动力系统Ⅸ(续一 影印版)

作者:(俄罗斯)阿诺索夫 编著
出版社:科学出版社
出版时间:2009-01-01
ISBN:9787030234964
定价:¥58.00
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内容简介
The book deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out "large subsets" of the phase space. Such systems lead to complicated motion (so-called"chaos"). The book begins with a discussion of the topological manifestations of uniform and total hyperbolicity: hyperbolic sets, Smale's Axiom A, structurally stable systems, Anosov systems, and hyperbolic attractors of dimension or codimension one. There are various modifications of hyperbolicity and in this connection the properties of Lorenz attractors, pseudo-analytic Thurston diffeomorphisms, and homogeneous flows with expanding and contracting foliations are investigated. These last two questions are discussed in the general context of the theory of homeomorphisms of surfaces and of homogeneous flows.
作者简介
暂缺《动力系统Ⅸ(续一 影印版)》作者简介
目录
Preface
Chapter 1. Hyperbolic Sets
Chapter 2. Strange Attractors
Chapter 3. Cascades on Surfaces
Chapter 4. Dynamical Systems with Transitive Symmetry Group. Geometric and Statistical Properties
Author Index
Subject Index
Chapter 1. Hyperbolic Sets
Chapter 2. Strange Attractors
Chapter 3. Cascades on Surfaces
Chapter 4. Dynamical Systems with Transitive Symmetry Group. Geometric and Statistical Properties
Author Index
Subject Index
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