典型文献
Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation
文献摘要：
Rank-1 attractors play a vital role in biological systems and the circuit systems.In this paper,we consider a periodi-cally kicked Chua model with two delays in a circuit system.We first analyze the local stability of the equilibria of the Chua system and obtain the existence conditions of supercritical Hopf bifurcations.Then,we derive some explicit formulas about Hopf bifurcation,which could help us find the form of Hopf bifurcation and the stability of bifurcating period solutions through the Hassards method.Also,we show that rank-1 chaos occurs when the Chua model with two delays undergoes a supercritical Hopf bifurcation and encounters a periodic kick,which shows the effect of two delays on the circuit system.Finally,we illustrate the theoretical analysis by simulations and try to explain the mechanism of delay in our system.
文献关键词：
中图分类号：
作者姓名：
Wenjie Yang
作者机构：
School of Science,Xuchang University,Xuchang 461000,China
文献出处：
引用格式：
[1]Wenjie Yang-.Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation)[J].中国物理B（英文版）,2022(02):183-192
A类：
Chua,periodi,Hassards
B类：
Bifurcation,dynamics,double,delayed,circuits,periodic,perturbation,Rank,attractors,play,vital,role,biological,systems,In,this,paper,we,consider,cally,kicked,model,two,delays,We,first,analyze,local,stability,equilibria,obtain,existence,conditions,supercritical,Hopf,bifurcations,Then,derive,some,explicit,formulas,about,which,could,help,find,bifurcating,solutions,through,method,Also,that,rank,chaos,occurs,when,undergoes,encounters,shows,effect,Finally,illustrate,theoretical,analysis,by,simulations,try,explain,mechanism,our
AB值：
0.546667
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