图书详情

图书信息

图书目录

混沌系统运动状态的切换性（英文版）

暂无简介

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：

130千字

开本：

16开

装帧形式：

平装

页数：

暂无

最新
印次时间：

2024年01月

目录
- 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