Multi-Wing Butterfly Attractors in Lu System

摘要：

The multi-wing butterfly attractors generated from Lü system via a single or multiple pulse function control is proposed in this paper. With the introduction of the single or multiple pulse function to the third equation of Lü system, the additional index-2 equilibrium points are created, from which multi-wing attractors are evolved. The evolutions of the strange four-wing butterfly attractor and the bifurcation analysis of Lü system with a single pulse function control are investigated. Furthermore, six-wing, eight-wing and ten-wing butterfly attractors in Lü system with different multiple pulse functions control are also revealed. Numerical simulation and experimental results demonstrate that the multi-wing butterfly attractors can be generated by utilizing this control method with the typical parameters of Lü attractor.

作者: Bo-Cheng Bao Xiao-feng Wang Jian-Ping Xu

作者单位: School of Electrical and Information Engineering Jiangsu Teachers University of Technology Changzhou School of Electrical Engineering Southwest Jiaotong University Chengdu 610031, P.R.China

会议类型: 国际会议

会议名称: 2010国际混沌、分形理论与应用研讨会(IWCFTA 2010)

会议地点: 昆明

会议语种:英文

页码: 211-215

在线出版日期: 2010-10-29（万方平台首次上网日期，不代表论文的发表时间）