摘要
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.
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.
作者
Li Ning
Sun Hai-Yi
Zhang Qin Ling
李宁;孙海义;张庆灵(Institute of Systems Science,Northeastern University,Shenyang 110819,China;College of Science,Shenyang Jianzhu University,Shenyang 110168,China)
基金
Project supported by the National Natural Science Foundation of China(Grant No.60974004)
the Science Foundation of Ministry of Housing and Urban-Rural Development,China(Grant No.2011-K5-31)