文献类型：期刊文献

英文题名：Controlling Dynamics to Coexisting Periodic Solutions or Equilibrium Points of the n-Scroll Modified Chua's Circuit

作者：Fu, Shihui[1];Han, Ying[1];Ma, Huizhen[1];Du, Ying[2]

机构：[1]Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China;[2]East China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

年份：2019

卷号：29

期号：13

外文期刊名：INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

收录：;EI(收录号：20195107867224);WOS:【SCI-EXPANDED(收录号:WOS:000502272100011)】；

基金：This paper was supported by National Natural Science Foundation of China (Grant Nos. 11602224, 61873245 and 11672107).

语种：英文

外文关键词：Modified Chua's circuit; Hopf bifurcation; chaos control; coexisting periodic orbit

摘要：The modified Chua's circuit, which is first order differentiable, has degree-of-discontinuity 3. It has 2n - 1 equilibrium points, including two boundary equilibrium points. For them, except boundary equilibrium points, we obtain in theory, conditions under which Hopf bifurcations exist, which implies coexisting periodic solutions. At the same time, we also show that equilibrium points are asymptotically stable when system parameters are within some limits. Furthermore, we theoretically design a linear feedback controller, which will not change the equilibrium points, with appropriate control parameters to control the dynamical behaviors including chaos to these periodic solutions or equilibrium points, and we verify it by numerical simulations.