Taming complexity in nonlinear dynamical systems by recycled signal

In this paper, the impacts of the recycled signal on the dynamic complexity have been studied theoretically and numerically xn a prototypical nonlinear dynamical system. The Melnikov theory is employed to determine the critical boundary, and the sta- tistical complexity measure （SCM） is defined and...

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Bibliographic Details
Published inScience China. Technological sciences Vol. 59; no. 3; pp. 403 - 410
Main Authors Sun, ZhongKui, Yang, XiaoLi, Xu, Wei
Format Journal Article
LanguageEnglish
Published Beijing Science China Press 01.03.2016
Subjects
Engineering
Melnikov
信号
再生
周期运动
复杂性测度
数值模拟
混沌行为
非线性动力系统
recycled signal
SCM
dynamic complexity
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ISSN1674-7321
1869-1900
DOI10.1007/s11431-015-5993-y

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Summary:In this paper, the impacts of the recycled signal on the dynamic complexity have been studied theoretically and numerically xn a prototypical nonlinear dynamical system. The Melnikov theory is employed to determine the critical boundary, and the sta- tistical complexity measure （SCM） is defined and calculated to quantify the dynamic complexity. It has been found that one can switch the dynamics from the periodic motion to a chaotic one or suppress the chaotic behavior to a periodic one, merely via adjusting the time delay or the amplitude of the recycled signal, therefore, providing a candidate to tame the dynamic com- plexity in nonlinear dynamical systems.
Bibliography:In this paper, the impacts of the recycled signal on the dynamic complexity have been studied theoretically and numerically xn a prototypical nonlinear dynamical system. The Melnikov theory is employed to determine the critical boundary, and the sta- tistical complexity measure （SCM） is defined and calculated to quantify the dynamic complexity. It has been found that one can switch the dynamics from the periodic motion to a chaotic one or suppress the chaotic behavior to a periodic one, merely via adjusting the time delay or the amplitude of the recycled signal, therefore, providing a candidate to tame the dynamic com- plexity in nonlinear dynamical systems.
11-5845/TH
recycled signal, dynamic complexity, SCM
ISSN:1674-7321
1869-1900
DOI:10.1007/s11431-015-5993-y