Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system

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	Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system
其他题名	Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system
	Zhang YongXiang 1; Kong GuiQin 2; Yu JianNing 3
	2008
发表期刊	ACTA PHYSICA SINICA
ISSN	1000-3290
卷号	57 期号:10 页码:6182-6187
摘要	The dynamical model and Poincare maps of a shaker are established. Two types of codimension-3 bifurcations of this system, including Flip-Hopf-Hopf bifurcation and Hopf-Hopf bifurcation in the third order strong resonant case, and three non-typical routes to chaos are investigated by using Poincare maps. The system exhibits more complicated dynamic behaviors near the points of codimension-3 bifurcation. The results show that near the points of bifurcation there exist triangle attractor, 3 T-2 torus bifurcation and "pentalpha-like", "tire-like" attractors in projected Poincare sections. The routes to chaos via torus explosion, torus-doubling bifurcation and T-2 torus bifurcation are analyzed by numerical simulation. The system parameters of shaker may be optimized by studying the stability and bifurcation of periodic motion of the shaker.
关键词	PERIOD-DOUBLING BIFURCATIONS HOPF codimension-3 bifurcation non-typical routes to chaos T-2 torus bifurcation
收录类别	CSCD
语种	英语
资助项目	[Natural Science Foundation of Gansu Province, China]
CSCD记录号	CSCD:3462198
引用统计	被引频次：6[CSCD] [CSCD记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/142737
专题	中国科学院金属研究所
作者单位	1.中国科学院金属研究所 2.6354 Institute China State Shipbldg Corp, Jiujiang 332000, Peoples R China 3.兰州交通大学
推荐引用方式 GB/T 7714	Zhang YongXiang,Kong GuiQin,Yu JianNing. Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system[J]. ACTA PHYSICA SINICA,2008,57(10):6182-6187.
APA	Zhang YongXiang,Kong GuiQin,&Yu JianNing.(2008).Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system.ACTA PHYSICA SINICA,57(10),6182-6187.
MLA	Zhang YongXiang,et al."Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system".ACTA PHYSICA SINICA 57.10(2008):6182-6187.