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Bifurcations and chaos control in discrete small-world networks |
Li Ning(李宁)a), Sun Hai-Yi(孙海义) b)†, and Zhang Qing-Ling(张庆灵)a) |
a Institute of Systems Science, Northeastern University, Shenyang 110819, China; b College of Science, Shenyang Jianzhu University, Shenyang 110168, China |
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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.
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Received: 25 May 2011
Revised: 12 August 2011
Accepted manuscript online:
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PACS:
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05.45.Ac
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(Low-dimensional chaos)
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05.45.Gg
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(Control of chaos, applications of chaos)
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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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