Dynamic analysis of a fractional-order Lorenz chaotic system

CORC > 自动化研究所 > 中国科学院自动化研究所 > 复杂系统管理与控制国家重点实验室 > 先进机器人控制团队

	Dynamic analysis of a fractional-order Lorenz chaotic system
	Yu Yongguang; Li Hanxiong, Wanga Sha; Yu Junzhi
刊名	CHAOS SOLITONS & FRACTALS
	2009-10-30
卷号	42 期号:2 页码:1181-1189
通讯作者	Yu Yongguang
英文摘要	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
类目[WOS]	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
研究领域[WOS]	Mathematics ; Physics
关键词[WOS]	DIFFERENTIAL-EQUATIONS ; QUANTUM-MECHANICS ; SCHRODINGER-EQUATION ; SYNCHRONIZATION
收录类别	SCI
语种	英语
WOS记录号	WOS:000268550600071
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/3439]
专题	自动化研究所_复杂系统管理与控制国家重点实验室_先进机器人控制团队
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.