Dynamic analysis of a fractional-order Lorenz chaotic system

	Dynamic analysis of a fractional-order Lorenz chaotic system
	Yu Yongguang; Li Hanxiong, Wanga Sha; Yu Junzhi
发表期刊	CHAOS SOLITONS & FRACTALS
	2009-10-30
卷号	42 期号:2 页码:1181-1189
文章类型	Article
摘要	The dynamic behaviors of fractional-order differential systems have received increasing attention in recent decades. But many results about fractional-order chaotic systems are attained only by using analytic and numerical methods. Based on the qualitative theory, the existence and uniqueness of solutions for a class of fractional-order Lorenz chaotic systems are investigated theoretically in this paper. The stability of the corresponding equilibria is also argued similarly to the integer-order counterpart. According to the obtained results, the bifurcation conditions of these two systems are significantly different. Numerical solutions, together with simulations, finally verify the correctness of our analysis.
WOS标题词	Science & Technology ; Physical Sciences
关键词[WOS]	DIFFERENTIAL-EQUATIONS ; QUANTUM-MECHANICS ; SCHRODINGER-EQUATION ; SYNCHRONIZATION
收录类别	SCI
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000268550600071
引用统计	被引频次：151[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/3439
专题	复杂系统认知与决策实验室_先进机器人
通讯作者	Yu Yongguang
推荐引用方式 GB/T 7714	Yu Yongguang,Li Hanxiong, Wanga Sha,Yu Junzhi. Dynamic analysis of a fractional-order Lorenz chaotic system[J]. CHAOS SOLITONS & FRACTALS,2009,42(2):1181-1189.
APA	Yu Yongguang,Li Hanxiong, Wanga Sha,&Yu Junzhi.(2009).Dynamic analysis of a fractional-order Lorenz chaotic system.CHAOS SOLITONS & FRACTALS,42(2),1181-1189.
MLA	Yu Yongguang,et al."Dynamic analysis of a fractional-order Lorenz chaotic system".CHAOS SOLITONS & FRACTALS 42.2(2009):1181-1189.