ISBN:978-7-04-031964-4
出版时间:2011-09-14
语种:英文
开本:16
页数:320
Hyperbolic Chaos: A Physicist`s View双曲混
作 者:Sergey P. Kuznetsov
定价:  69.00元 购买
  • 内容简介

    《双曲混沌:一个物理学家的观点》从物理学而不是数学概念的角度介绍了目前动力系统中均匀双曲吸引子研究的进展小结构稳定的吸引子表现出强烈的随机性,但 是对于动力系统中函数和参数的变化不敏感。基于双曲混沌的特征,《双曲混沌:一个物理学家的观点》将展示如何找到物理系统中的双曲混沌吸引子,以及怎样设 计具有双曲混沌的物理系统。

    《双曲混沌:一个物理学家的观点》可以作为研究生和高年级本科生教材,也可以供大学教授以及物理学、机械学和工程学相关研究人员参考。

关键词 物理类
目录
内封   
PDF (9 MB) (
版权   
PDF (3 MB) (
目录   
PDF (63 KB) (
Front Matter   
PDF (150 KB) (
Part I Basic Notions and Review   
摘要   PDF (1 MB) ( ) P. 1-34
1 Dynamical Systems and Hyperbolicity
2 Possible Occurrence of Hyperbolic Attractors   
摘要   PDF (1 MB) ( ) P. 35-58
Part II Low-Dimensional Models
3 Kicked Mechanical Models and Differential Equations with Periodic Switch   
摘要   PDF (997 KB) ( ) P. 59-80
4 Non-Autonomous Systems of Coupled Self-Oscillators   
摘要   PDF (975 KB) ( ) P. 81-102
5 Autonomous Low-dimensional Systems with Uniformly Hyperbolic Attractors in the Poincar´e Maps   
摘要   PDF (470 KB) ( ) P. 103-118
6 Parametric Generators of Hyperbolic Chaos   
摘要   PDF (723 KB) ( ) P. 119-140
7 Recognizing the Hyperbolicity: Cone Criterion and Other Approaches   
摘要   PDF (1 MB) ( ) P. 141-172
Part III Higher-Dimensional Systems and Phenomena
8 Systems of Four Alternately Excited Non-autonomous Oscillators   
摘要   PDF (1 MB) ( ) P. 173-200
9 Autonomous Systems Based on Dynamics Close to Heteroclinic Cycle   
摘要   PDF (734 KB) ( ) P. 201-218
10 Systems with Time-delay Feedback   
摘要   PDF (947 KB) ( ) P. 219-242
11 Chaos in Co-operative Dynamics of Alternately Synchronized Ensembles of Globally Coupled Self-oscillators   
摘要   PDF (362 KB) ( ) P. 243-258
Part IV Experimental Studies
12 Electronic Device with Attractor of Smale-Williams Type   
摘要   PDF (399 KB) ( ) P. 259-264
13 Delay-time Electronic Devices Generating Trains of Oscillations with Phases Governed by Chaotic Maps   
摘要   PDF (1019 KB) ( ) P. 265-272
14 Conclusion   
摘要   PDF (62 KB) ( ) P. 273-277
Appendix A Computation of Lyapunov Exponents:The Benettin Algorithm   
PDF (122 KB) ( ) P. 278-280
Appendix B H´enon and Ikeda Maps   
PDF (419 KB) ( ) P. 281-288
Appendix C Smale’s Horseshoe and Homoclinic Tangle   
PDF (240 KB) ( ) P. 289-292
Appendix D Fractal Dimensions and Kaplan-Yorke Formula   
PDF (237 KB) ( ) P. 293-298
Appendix E Hunt’s Model: Formal Definition   
PDF (129 KB) ( ) P. 299-304
Appendix F Geodesics on a Compact Surface of Negative Curvature   
PDF (182 KB) ( ) P. 305-310
AppendixG Effect of Noise in a System with a Hyperbolic Attractor   
PDF (885 KB) ( ) P. 311-318
Index   
PDF (77 KB) ( ) P. 319-320
非线性物理科学系列NPS
Mathematical Theory of Dispersion-Manage
Long-range Interactions, Stochasticity
Fractional Dynamics: Applications of Fra
Self-organization and Pattern-formation
Nonlinear Deformable-body Dynamics 非线性物
Hamiltonian Chaos Beyond the KAM Theory
Complex Systems:Fractionality, Time-delay and Synchronization
Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation
线性与非线性积分方程:方法及应用
物理及工程中的分数维微积分: 第I卷 数学基础及其理论(英文版) (Fracti
同伦分析方法与非线性微分方程(英文版)
Continuous Dynamical Systems (英文版) (连续动
李群分析在地球物理流体动力学中的应用
动态域上的不连续动力系统
物理及工程中的分数维微积分: 第II卷 应用 (英文版) (Fraction
不连续动力系统
变换群和李代数(英文版) (Transformation Groups and
微分方程群性质理论讲义 (Lectures on the Theory of G
时滞动力系统的分析与控制 (英文版) (Advances in Analysis
Keller-Box 方法及其应用(英文版)
Waves and structures in nonlinear nondis
离散和切换动力系统 (英文版) Discrete and Switching D
流动非线性及其同伦分析: 流体力学和传热(英文版)(Nonlinear Flow
Approximate and Renormgroup Symmetries
Discontinuous Dynamical Systems on Time-
准混沌冲击振子:重正化,符号动力学及运动迁移现象(英文版) Pseudochao
非线性变形体动力学
混沌信号处理 (Chaotic Signal Processing)(英文版)