购物车
申请加入邮件组
English
高级检索
图表检索
首页
图书
期刊
首页
图书
期刊
院士风采
作者服务
订购指南
下载中心
音视频讲座
图片集
书刊相关资料
书刊目录
丛书简介
力学基础与工程技术前沿
Hyperbolic Chaos: A Physicist`s View双曲混
作 者:
Sergey P. Kuznetsov
ISBN:978-7-04-031964-4 出版时间:2011-09-14
全书目录
本章目录
内封
版权
目录
Front Matter
Part I Basic Notions and Review
1 Dynamical Systems and Hyperbolicity
2 Possible Occurrence of Hyperbolic Attractors
Part II Low-Dimensional Models
3 Kicked Mechanical Models and Differential Equations with Periodic Switch
4 Non-Autonomous Systems of Coupled Self-Oscillators
5 Autonomous Low-dimensional Systems with Uniformly Hyperbolic Attractors in the Poincar´e Maps
6 Parametric Generators of Hyperbolic Chaos
7 Recognizing the Hyperbolicity: Cone Criterion and Other Approaches
Part III Higher-Dimensional Systems and Phenomena
8 Systems of Four Alternately Excited Non-autonomous Oscillators
9 Autonomous Systems Based on Dynamics Close to Heteroclinic Cycle
10 Systems with Time-delay Feedback
11 Chaos in Co-operative Dynamics of Alternately Synchronized Ensembles of Globally Coupled Self-oscillators
Part IV Experimental Studies
12 Electronic Device with Attractor of Smale-Williams Type
13 Delay-time Electronic Devices Generating Trains of Oscillations with Phases Governed by Chaotic Maps
14 Conclusion
Appendix A Computation of Lyapunov Exponents:The Benettin Algorithm
Appendix B H´enon and Ikeda Maps
Appendix C Smale’s Horseshoe and Homoclinic Tangle
Appendix D Fractal Dimensions and Kaplan-Yorke Formula
Appendix E Hunt’s Model: Formal Definition
Appendix F Geodesics on a Compact Surface of Negative Curvature
AppendixG Effect of Noise in a System with a Hyperbolic Attractor
Index
1 Dynamical Systems and Hyperbolicity
1.1 Dynamical systems: basic notions
1.2 Model examples of chaotic attractors
1.3 Notion of hyperbolicity
1.4 Content and conclusions of the hyperbolic theory
References
2 Possible Occurrence of Hyperbolic Attractors
2.1 The Newhouse-Ruelle-Takens theorem and its relation to the uniformly hyperbolic attractors
2.2 Lorenz model and its modifications
2.3 Some maps with uniformly hyperbolic attractors
2.4 From DA to the Plykin type attractor
2.5 Hunt’s example: Suspending the Plykin type attractor
2.6 The triple linkage: A mechanical system with hyperbolic dynamics
2.7 A possible occurrence of a Plykin type attractor in Hindmarsh-Rose neuron model
2.8 Blue sky catastrophe and birth of the Smale-Williams attractor
2.9 Taffy-pulling machine
References
Part I Basic Notions and Review
PDF (1 MB)
Book Metrics
引用导出
点击:
次
下载:
次
相关资源
相关词条
Part I Basic Notions and Review
引用导出
RIS (for EndNote, Reference Manager, ProCite)
BibTeX
Text