图书信息
图书目录
Bifurcation and Stability in Nonlinear Discrete Systems（英文版）非线性离散系统中的分岔与稳定性
暂无简介
作者：
Albert C. J. Luo（罗朝俊）
定价：
158.00元
出版时间：
2021-01-06
ISBN：
978-7-04-055228-7
物料号：
55228-00
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：
400.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
- 前辅文
- 1 Local Stability and Bifurcations
- 1.1 Discrete Systems
- 1.2 Fixed-Points and Stability
- 1.3 Stability Switching
- 1.3.1 Monotonic and Oscillatory Stability
- 1.3.2 Spiral Stability
- 1.4 Local Bifurcations
- 1.4.1 Monotonic Bifurcations
- 1.4.2 One-Step Oscillatory Bifurcations
- 1.4.3 Two-Step Oscillatory Bifurcations
- 1.4.4 Neimark Bifurcations
- References
- 2 Low-Dimensional Discrete Systems
- 2.1 One-Dimensional Discrete Systems
- 2.2 Monotonic and Oscillatory Stability
- 2.3 Bifurcations
- 2.3.1 Monotonic Bifurcations
- 2.3.2 One-Step Oscillatory Bifurcations
- 2.3.3 Two-Step Oscillatory Bifurcations
- 2.4 Sample Bifurcation Analysis
- 2.4.1 Saddle-Node Appearing Bifurcations
- 2.4.2 Saddle-Node Switching Bifurcations
- 2.4.3 Third-Order Monotonic Sink Pitchfork Bifurcations
- 2.4.4 Third-Order Monotonic Source Pitchfork Bifurcations
- 2.5 Two-Dimensional Discrete Systems
- 2.5.1 Stability and Singularity
- 2.5.2 An Example
- References
- 3 Global Stability of 1-D Discrete Systems
- 3.1 Discrete System Classifications
- 3.2 Fixed-Point Global Stability
- 3.3 One Fixed-Point Systems
- 3.3.1 Monotonic Stability
- 3.3.2 Oscillatory Stability
- 3.4 Two-Fixed-Point Systems
- 3.4.1 Monotonic Two-Fixed-Point Systems
- 3.4.2 Oscillatory Two-Fixed-Point Systems
- 3.5 Three-Fixed-Point Systems
- 3.5.1 Monotonic Three-Fixed-Point Systems
- 3.5.2 Oscillatory Three-Fixed-Point Systems .
- References
- 4 Forward and Backward Discrete Systems
- 4.1 Yin-Yang Theory of Discrete Systems
- 4.2 Forward Discrete Systems
- 4.3 Backward Discrete Systems
- Reference
- 5 Infinite-Fixed-Point Discrete Systems
- 5.1 Fixed-Point Computations
- 5.2 Normal Forms of Discrete Systems
- 5.3 Infinite-Fixed-Point Systems
- 5.3.1 One-Infinite-Fixed-Point Systems
- 5.3.2 Two-Infinite-Fixed-Point Systems
- 5.3.3 Higher-Order Infinite-Fixed-Point Systems
- 5.4 Infinite-Fixed-Point-Network Systems
- 5.4.1 An Infinite-Fixed-Point-Network System
- 5.4.2 A Spiral Infinite-Fixed-Point System
- 5.4.3 A Linear Infinite-Fixed-Point System
- 5.4.4 A Hyperbolic Infinite-Fixed-Point System
- References
- Index
