Bifurcations and chaos control in discrete small-world networks |
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| Authors: | Li Ning Sun Hai-Yi and Zhang Qing-Ling |
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| Institution: | Institute of Systems Science, Northeastern University, Shenyang 110819, China; 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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| Keywords: | bifurcation chaos small-world networks impulsive delayed feedback control |
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