Bifurcations and chaos control in discrete small-world networks

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 de...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 1; pp. 127 - 132
Main Author 李宁 孙海义 张庆灵
Format Journal Article
LanguageEnglish
Published 2012
Subjects
Bifurcations
Chaos theory
Computer simulation
Feedback control
Networks
Orbits
Qualitative analysis
Strategy
倍周期分岔
小世界网络
延迟反馈
控制策略
混沌吸引子
混沌控制
离散
网络模型
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/1/010503

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Summary: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.
Bibliography:Li Ning, Sun Hai-Yi, and Zhang Qing-Ling（a） Institute of Systems Science, Northeastern University, Shenyang 110819, China b） College of Science, Shenyang Jianzhu University, Shenyang 110168, China
11-5639/O4
bifurcation, chaos, small-world networks, impulsive delayed feedback control
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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SourceType-Scholarly Journals-1
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content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/1/010503