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二维二次非线性系统：单变量向量场（英文版）Two-Dimensional Quadratic Nonlinear Systems: Univariate Ve

样章
作者：
Albert C. J. Luo（罗朝俊）
定价：
199.00元
ISBN：
978-7-04-060495-5
版面字数：
980.000千字
开本：
特殊
全书页数：
暂无
装帧形式：
精装
重点项目：
暂无
出版时间：
2023-08-08
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 Two-Dimensional Linear Dynamical Systems
    • 1.1 Constant Vector Fields
    • 1.2 Linear Vector Fields with a Single Variable
    • 1.3 Variable-Independent Linear Vector Fields
    • 1.4 Variable-Crossing Linear Vector Fields
    • 1.5 Two Linear-Bivariate Vector Fields
    • Reference
  • 2 Single-Variable Quadratic Systems with a Self-Univariate Quadratic Vector Field
    • 2.1 Constant and Self-Univariate Quadratic Vector Fields
      • 2.1.1 Self-Univariate Quadratic Systems with a Constant Vector Field
      • 2.1.2 Singular Flows and Bifurcations
    • 2.2 Linear and Self-Univariate Quadratic Vector Fields
      • 2.2.1 Linear and Self-Univariate Quadratic Systems
      • 2.2.2 Flow Switching and Appearing Bifurcations
    • 2.3 Single-Variable Quadratic Systems with a Self-Univariate Vector Field
      • 2.3.1 Variable-Crossing and Self-Univariate Quadratic Vector Fields
    • 2.4 Singular Dynamics and Bifurcations
    • Reference
  • 3 Single-Variable Quadratic Systems with a Non-Self-Univariate Quadratic Vector Field
    • 3.1 Constant and Non-Self-Univariate Quadratic Vector Fields
      • 3.1.1 Non-Self-Univariate Quadratic Systems with a Constant Vector Field
      • 3.1.2 Singular Flows and Bifurcations
    • 3.2 Linear and Non-Self-Univariate Quadratic Vector Fields
      • 3.2.1 Linear and Non-Self-Univariate Quadratic Systems
      • 3.2.2 Flow Switching and Appearing Bifurcations
    • 3.3 With a Non-Self-Univariate Quadratic Vector Field
      • 3.3.1 Quadratic Systems with a Non-Self-Univariate Vector Field
      • 3.3.2 Singular Dynamics and Bifurcations
    • Reference
  • 4 Variable-Independent Quadratic Dynamics
    • 4.1 Constant and Variable-Independent Quadratic Vector Fields
    • 4.2 Variable-Independent, Linear and Quadratic Vector Fields
      • 4.2.1 Variable-Independent, Linear and Quadratic Systems
      • 4.2.2 Saddle-Node Bifurcations and Global Dynamics
    • 4.3 Two Variable-Independent Univariate Quadratic Vector Fields
      • 4.3.1 Two Variable-Independent Quadratic Global Dynamics
      • 4.3.2 Singularity and Bifurcations
    • Reference
  • 5 Variable-Crossing Univariate Quadratic Systems
    • 5.1 Constant and Variable-Crossing Univariate Vector Fields
    • 5.2 Linear and Quadratic Variable-Crossing Vector Fields
      • 5.2.1 Linear and Quadratic Variable-Crossing Systems
      • 5.2.2 Bifurcations and Limit Cycles
    • 5.3 Two Variable-Crossing Univariate Quadratic Vector Fields
      • 5.3.1 Two Variable-Crossing Univariate Quadratic Systems
      • 5.3.2 Bifurcations and Global Dynamics
    • Reference
  • 6 Two-Univariate Product Quadratic Systems
    • 6.1 Two-Univariate Product Quadratic Dynamics
    • 6.2 Dynamics for Two-Univariate-Product Quadratic Systems
      • 6.2.1 With a Constant Vector Field
      • 6.2.2 With an Independent-Variable Linear Vector Field
      • 6.2.3 With a Variable-Crossing Linear Vector Field
      • 6.2.4 Two-Univariate Product Quadratic Vector Fields
      • 6.2.5 Switching Bifurcations
    • Reference
  • 7 Product-Bivariate Quadratic Systems with a Self-Univariate Quadratic Vector Field
    • 7.1 Product-Bivariate and Self-Univariate Quadratic Dynamics
    • 7.2 Singularity, Bifurcations and Global Dynamics
      • 7.2.1 Saddle-Sink and Saddle-Source Bifurcations
      • 7.2.2 Up-Down and Down-Up Upper-Saddles and Lower-Saddles
      • 7.2.3 Simple Equilibriums with Hyperbolic Flows
      • 7.2.4 Infinite-Equilibriums and Switching Bifurcations
    • Reference
  • 8 Product-Bivariate Quadratic Systems with a Non-Self-Univariate Quadratic Vector Field
    • 8.1 Product-Bivariate and Non-Self-Univariate Dynamics
    • 8.2 Singularity, Bifurcations and Global Dynamics
      • 8.2.1 Saddle-Center Appearing Bifurcations
      • 8.2.2 Saddle-Saddle and Center-Center Bifurcations
      • 8.2.3 Saddle and Center Flows with Hyperbolic Flows
      • 8.2.4 Switching Bifurcations
    • Reference
  • Index

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