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混沌系统运动状态的切换性（英文版）

暂无简介

购买：

作者：

Edson Denis Leonel

定价：

99.00元

出版时间：

2024-01-26

ISBN：

978-7-04-061663-7

物料号：

61663-00

读者对象：

学术著作

一级分类：

自然科学

二级分类：

数学与统计

三级分类：

动力系统

重点项目：

暂无

版面字数：

130.000千字

开本：

16开

全书页数：

暂无

装帧形式：

平装

前辅文
1 Posing the Problems
- 1.1 Initial Concepts
- 1.2 Summary
2 A Hamiltonian and a Mapping
- 2.1 The Mapping
- 2.2 Specific Applications
  - 2.2.1 Standard Mapping
  - 2.2.2 The Fermi–Ulam Model
  - 2.2.3 The Bouncer Model
  - 2.2.4 A Hybrid Fermi–Ulam Bouncer Model
  - 2.2.5 Family of Mappings
- 2.3 Summary
3 A Phenomenological Description for Chaotic Diffusion
- 3.1 Dynamical Properties for the Chaotic Sea: A Phenomenological Description
- 3.2 Summary
4 A Semi-phenomenological Description for Chaotic Diffusion
- 4.1 A Semi-phenomenological Approach
- 4.2 Summary
5 A Solution of the Diffusion Equation
- 5.1 A Solution of the Diffusion Equation
- 5.2 Summary
6 Characterization of a Continuous Phase Transition in an Area-Preserving Map
- 6.1 Evidence of a Phase Transition
- 6.2 Break of Symmetry
- 6.3 Order Parameter
- 6.4 Topological Defects
- 6.5 Elementary Excitations
- 6.6 Summary
7 Scaling Invariance for Chaotic Diffusion in a Dissipative Standard Mapping
- 7.1 A Dissipative Standard Mapping
- 7.2 Analytical Description of the Diffusion
- 7.3 Summary
8 Characterization of a Transition from Limited to Unlimited Diffusion
- 8.1 Pieces of Evidence of a Phase Transition
- 8.2 Break of Symmetry
- 8.3 Order Parameter
- 8.4 Topological Defects
- 8.5 Elementary Excitations
- 8.6 Summary
9 Billiards with Moving Boundary
- 9.1 A Billiard Dynamical System
- 9.2 Unlimited Diffusion of the Velocity for the Oval Billiard
- 9.3 Summary
10 Suppression of Fermi Acceleration in Oval Billiard
- 10.1 Dissipation in a Billiard
  - 10.1.1 Long-Stand Dynamics
  - 10.1.2 Time-Dependent Regime
  - 10.1.3 Discussion of the Phenomenological Results
  - 10.1.4 Time Average
  - 10.1.5 Determination of the Critical Exponents
  - 10.1.6 Distribution of Velocities
- 10.2 Summary
11 Suppressing the Unlimited Energy Gain: Shreds of Evidence of a Phase Transition
- 11.1 Elements of a Phase Transition
- 11.2 Break of Symmetry
- 11.3 Order Parameter
- 11.4 Topological Defects
- 11.5 Elementary Excitations
- 11.6 Summary
References
color figures