Bifurcations and chaos control in discrete small-world networks

doi:10.1088/1674-1056/21/1/010503

Abstract An impulsive delayed feedback control strategy to control period-doubling bifurcations and chaos is proposed. The control method is then applied to a discrete small-world network model. Qualitative analyses and simulations show that under a generic condition, the bifurcations and the chaos can be delayed or eliminated completely. In addition, the periodic orbits embedded in the chaotic attractor can be stabilized.

Keywords: bifurcation chaos small-world networks impulsive delayed feedback control

Received: 25 May 2011
Revised: 12 August 2011
Accepted manuscript online:

PACS:	05.45.Ac	(Low-dimensional chaos)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60974004) and the Science Foundation of Ministry of Housing and Urban-Rural Development, China (Grant No. 2011-K5-31).

Cite this article:

Li Ning(李宁), Sun Hai-Yi(孙海义), and Zhang Qing-Ling(张庆灵) Bifurcations and chaos control in discrete small-world networks 2012 Chin. Phys. B 21 010503

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