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：
130.000千字
开本：
16开
装帧形式：
平装
版次：
1
最新版次印刷时间：
2024年
- 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
- 10.1 Dissipation in a Billiard
- 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
