Stability and boundary equilibrium bifurcations of modified Chua's circuit with smooth degree of 3

作     者：Shihui FU Xiangying MENG Qishao LU 

作者机构：School of Mathematics and Statistics Zhengzhou University Department of Biology University of Maryland Department of Dynamics and Control Beihang University 

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

年 卷 期：2015年第36卷第12期

页      面：1639-1650页

核心收录：

学科分类：080804[工学-电力电子与电力传动] 080805[工学-电工理论与新技术] 0808[工学-电气工程] 08[工学] 

基　　金：supported by the National Natural Science Foundation of China(Nos.U1204106,11372282,11272024,and 11371046) the National Basic Research Program of China(973 Program)(Nos.2012CB821200 and 2012CB821202) 

主　　题：modified Chua's circuit boundary equilibrium point stability bifurcation 

摘      要：Chua＇s circuit is a well-known nonlinear electronic model, having complicated nonsmooth dynamic behaviors. The stability and boundary equilibrium bifurcations for a modified Chua＇s circuit system with the smooth degree of 3 are studied. The parametric areas of stability are specified in detail. It is found that the bifurcation graphs of the su- percritical and irregular pitchfork bifurcations are similar to those of the piecewise-smooth continuous （PWSC） systems caused by piecewise smoothness. However, the bifurcation graph of the supercritical Hopf bifurcation is similar to those of smooth systems. There- fore, the boundary equilibrium bifurcations of the non-smooth systems with the smooth degree of 3 should receive more attention due to their special features.