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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

样章
作者：
Albert C. J. Luo（罗朝俊）
定价：
158.00元
ISBN：
978-7-04-055228-7
版面字数：
400.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
重点项目：
暂无
出版时间：
2021-01-06
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
暂无
  • 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

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