Si ’lnikov Chaos of a 3-D Quadratic Autonomous System With a Four-Wing Chaotic Attractor
The stability and chaotic motions of a 3-D quadratic autonomous system with a four-wing chaotic attractor are investigated in this paper.Base on the linearization analysis,the stability of the equilibrium points is studied.By using the undetermined coef cient method,the homoclinic and heteroclinic orbits are found and the series expansions of these two types of orbits is given.It analytically demonstrates that there exist homoclinic orbits of Silnikov type that join the equilibrium points to themselves and heteroclinic orbits of Silnikov type connecting the equilibrium points.Therefore,Smale horseshoes and the horseshoe chaos occur for this system via the Silnikov criterion.
WANG Xia LI Jianping FANG Jianyin
Department of Mathematical and Physical Science,Henan Institute of Engineering,Zhengzhou 451191,P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-5
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）