图书信息
图书目录
自治和非自治不连续微分方程中的分岔（英文版）
暂无简介
作者：
Marat Akhmet， Ardak Kashkynbayev
定价：
69.00 元
出版时间：
2017-05-09
ISBN：
978-7-04-047450-3
物料号：
47450-00
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：
180千字
开本：
16开
装帧形式：
精装
页数：
暂无
最新印次时间：
2017年01月
- 目录
- Front Matter
- 1 Introduction
- 1.1 General Description of Differential Equations with Discontinuities
- 1.1.1 Impulsive Differential Equations
- 1.1.2 Differential Equations with Piecewise Constant Argument
- 1.1.3 Differential Equations with Discontinuous Right-Hand Sides
- 1.1.1 Impulsive Differential Equations
- 1.2 Nonautonomous Bifurcation
- 1.3 The Bernoulli Equations
- 1.4 Organization of the Book
- 1.1 General Description of Differential Equations with Discontinuities
- 2 Hopf Bifurcation in Impulsive Systems
- 2.1 Hopf Bifurcation of a Discontinuous Limit Cycle
- 2.1.1 The Nonperturbed System
- 2.1.2 The Perturbed System
- 2.1.3 Foci of the D-System
- 2.1.4 The Center and Focus Problem
- 2.1.5 Bifurcation of a Discontinuous Limit Cycle
- 2.1.6 Examples
- 2.1.1 The Nonperturbed System
- 2.2 3D Discontinuous Cycles
- 2.2.1 Introduction
- 2.2.2 The Nonperturbed System
- 2.2.3 The Perturbed System
- 2.2.4 Center Manifold
- 2.2.5 Bifurcation of Periodic Solutions
- 2.2.6 Examples
- 2.2.1 Introduction
- 2.3 Periodic Solutions of the Van der Pol Equation
- 2.3.1 Introduction and Preliminaries
- 2.3.2 Theoretical Results
- 2.3.3 Center Manifold
- 2.3.1 Introduction and Preliminaries
- 2.4 Notes
- 2.1 Hopf Bifurcation of a Discontinuous Limit Cycle
- 3 Hopf Bifurcation in Filippov Systems
- 3.1 Nonsmooth Planar Limit Cycle from a Vertex
- 3.1.1 Introduction
- 3.1.2 The Nonperturbed System
- 3.1.3 The Perturbed System
- 3.1.4 The Focus-Center Problem
- 3.1.5 Bifurcation of Periodic Solutions
- 3.1.6 An Example
- 3.1.1 Introduction
- 3.2 3D Filippov System
- 3.2.1 Introduction
- 3.2.2 The Nonperturbed System
- 3.2.3 The Perturbed System
- 3.2.4 Center Manifold
- 3.2.5 Bifurcation of Periodic Solutions
- 3.2.6 An Example
- 3.2.1 Introduction
- 3.3 Notes
- 3.1 Nonsmooth Planar Limit Cycle from a Vertex
- 4 Nonautonomous Bifurcation in Impulsive Bernoulli Equations
- 4.1 The Transcritical and the Pitchfork Bifurcations
- 4.1.1 Introduction
- 4.1.2 Preliminaries
- 4.1.3 The Pitchfork Bifurcation
- 4.1.4 The Transcritical Bifurcation
- 4.1.1 Introduction
- 4.2 Impulsive Bernoulli Equations: The Transcritical and the Pitchfork Bifurcations
- 4.2.1 Introduction and Preliminaries
- 4.2.2 Bounded Solutions
- 4.2.3 The Pitchfork Bifurcation
- 4.2.4 The Transcritical Bifurcation
- 4.2.5 Illustrative Examples
- 4.2.1 Introduction and Preliminaries
- 4.3 Notes
- 4.1 The Transcritical and the Pitchfork Bifurcations
- 5 Nonautonomous Bifurcations in Nonsolvable Impulsive Systems
- 5.1 The Transcritical and the Pitchfork Bifurcations
- 5.1.1 Introduction
- 5.1.2 Preliminaries
- 5.1.3 Attractivity and Repulsivity in a Linear Impulsive Nonhomogeneous Systems
- 5.1.4 The Transcritical Bifurcation
- 5.1.5 The Pitchfork Bifurcation
- 5.1.1 Introduction
- 5.2 Finite-Time Nonautonomous Bifurcations
- 5.2.1 Introduction and Preliminaries
- 5.2.2 Attractivity and Repulsivity in a Linear Nonhomogeneous Impulsive System
- 5.2.3 Bifurcation Analysis
- 5.2.4 An Example
- 5.2.1 Introduction and Preliminaries
- 5.3 Notes
- 5.1 The Transcritical and the Pitchfork Bifurcations
- 6 Nonautonomous Bifurcations in Bernoulli Differential Equations with Piecewise Constant Argument of Generalized Type
- 6.1 Introduction and Preliminaries
- 6.1.1 Attraction and Stability
- 6.1.1 Attraction and Stability
- 6.2 Bounded Solutions
- 6.3 The Pitchfork Bifurcation
- 6.4 The Transcritical Bifurcation
- 6.5 Illustrative Examples
- 6.6 Notes
- 6.1 Introduction and Preliminaries
- References
- Front Matter
