Symmetric bursting of focus-focus type in the controlled Lorenz system with two time scales
By employing a special feedback controlling scheme，a hyperchaotic Lorenz system with the structure of two time scales is constructed. Two kinds of bursting phenomena，symmetric fold/fold bursting and symmetric subHopf/subHopf bursting，can be observed in this system. Their respective dynamical behaviors are investigated by means of slow-fast analysis. In particular，symmetric fold/fold bursting is of focus-focus type，namely，both the up-state and the down-state are stable focus，which is di?erent from the usual fold/fold bursting；Symmetric subHopf/subHopf bursting is also of focus-focus type，which has not been reported in previous work. Furthermore，phase plane analysis has been introduced to explore the evolution details of the fast subsystem for symmetric sub-Hopf/subHopf bursting. With the variation of the parameter，symmetric subHopf/subHopf bursting can evolve to symmetric chaotic bursting or even hyperchaos.
洛伦兹系统 反馈控制 动力学行为 折叠爆破
Xiujing Han Bo jiang Qinsheng Bi
Faculty of Science, Jiangsu University, Zhenjiang Jiangsu 212013, P.R. China
国内会议
第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议
南京
英文
1-9
2009-05-15（万方平台首次上网日期，不代表论文的发表时间）