Stability and boundary equilibrium bifurcations of modified Chua's circuit with smooth degree of 3  被引量:1

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

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作  者:Shihui FU Xiangying MENG Qishao LU 

机构地区:[1]School of Mathematics and Statistics, Zhengzhou University [2]Department of Biology, University of Maryland [3]Department of Dynamics and Control, Beihang University

出  处:《Applied Mathematics and Mechanics(English Edition)》2015年第12期1639-1650,共12页应用数学和力学(英文版)

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)

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.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.

关 键 词:modified Chua's circuit boundary equilibrium point STABILITY BIFURCATION 

分 类 号:TM132[电气工程—电工理论与新技术]

 

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