7 Recognizing the Hyperbolicity: Cone Criterion and Other Approaches

购物车申请加入邮件组 English

高级检索图表检索

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
- 7.1 Verification of transversality for manifolds
- 7.1.1 Visualization of the manifolds
- 7.1.2 Distributions of angles of the manifold intersections
- 7.2 Visualization of invariant measures
- 7.3 Cone criterion and examples of its application
- 7.3.1 Procedure of verification of the cone criterion
- 7.3.2 Examples of application of the cone criterion
- References

7 Recognizing the Hyperbolicity: Cone Criterion and Other Approaches

Book Metrics 引用导出

点击：次

下载：次

相关资源

相关词条