Border collision bifurcations in 3D piecewise smooth chaotic circuit

作     者：Yinghui GAO Xiangying MENG Qishao LU 无

作者机构：School of Mathematics and System Sciences LMIB of the Ministry of EducationBeihang University Department of Biology University of Maryland School of Aeronautic Science and Engineering Beihang University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2016年第37卷第9期

页      面：1239-1250页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 071101[理学-系统理论] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11272024,11371046,and 11372017) the Fundamental Research Funds for the Central Universities 

主　　题：electrical circuit border collision bifurcation multiple crossing 

摘      要：A variety of border collision bifurcations in a three-dimensional （3D） piecewise smooth chaotic electrical circuit are investigated. The existence and stability of the equilibrium points are analyzed. It is found that there are two kinds of non-smooth fold bifurcations. The existence of periodic orbits is also proved to show the occurrence of non-smooth Hopf bifurcations. As a composite of non-smooth fold and Hopf bifurcations, the multiple crossing bifurcation is studied by the generalized Jacobian matrix. Some interesting phenomena which cannot occur in smooth bifurcations are also considered.