Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control

doi:10.1063/1.2401061

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	Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control
	Deng, Weihua ; Lu, Jinhu
	2006-12-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	16 期号:4 页码:8
摘要	This paper proposes a saturated function series approach for generating multiscroll chaotic attractors from the fractional differential systems, including one-directional (1-D) n-scroll, two-directional (2-D) nxm-grid scroll, and three-directional (3-D) nxmxl-grid scroll chaotic attractors. Our theoretical analysis shows that all scrolls are located around the equilibria corresponding to the saturated plateaus of the saturated function series on a line in the 1-D case, a plane in the 2-D case, and a three-dimensional space in the 3-D case, respectively. In particular, each saturated plateau corresponds to a unique equilibrium and its unique scroll of the whole attractor. In addition, the number of scrolls is equal to the number of saturated plateaus in the saturated function series. Finally, some underlying dynamical mechanisms are then further investigated for the fractional differential multiscroll systems. (c) 2006 American Institute of Physics.
DOI	10.1063/1.2401061
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000243157800026
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2522
专题	系统科学研究所
通讯作者	Deng, Weihua
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 2.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 3.Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Princeton Univ, Dept Ecol & Evolutionary Biol, Princeton, NJ 08544 USA
推荐引用方式 GB/T 7714	Deng, Weihua,Lu, Jinhu. Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control[J]. CHAOS,2006,16(4):8.
APA	Deng, Weihua,&Lu, Jinhu.(2006).Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control.CHAOS,16(4),8.
MLA	Deng, Weihua,et al."Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control".CHAOS 16.4(2006):8.