Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation  

作　　者：Wenjie 杨文杰(School of Science,Xuchang University,Xuchang 461000,China)

机构地区：[1]School of Science,Xuchang University,Xuchang 461000,China

出　　处：《Chinese Physics B》2022年第2期164-172,共9页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11772291 and 12002297);Youth Talent Support Project of Henan,China(Grant No.2020HYTP012);Basic Research Project of Universities in Henan Province,China(Grant No.21zx009);Program for Science&Technology Innovation Talents in Universities of Henan Province,China(Grant No.22HASTIT018)。

摘　　要：Rank-1 attractors play a vital role in biological systems and the circuit systems.In this paper,we consider a periodically 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.

关 键 词：rank one chaos periodically kicked Chua model time delay 

分 类 号：TM13[电气工程—电工理论与新技术]