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Taming complexity in nonlinear dynamical systems by recycled signal

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Abstract

In this paper, the impacts of the recycled signal on the dynamic complexity have been studied theoretically and numerically in a prototypical nonlinear dynamical system. The Melnikov theory is employed to determine the critical boundary, and the statistical 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 complexity in nonlinear dynamical systems.

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Authors and Affiliations

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, China

    ZhongKui Sun & Wei Xu

  2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China

    XiaoLi Yang

Authors
  1. ZhongKui Sun
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  2. XiaoLi Yang
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  3. Wei Xu
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Correspondence to ZhongKui Sun.

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Sun, Z., Yang, X. & Xu, W. Taming complexity in nonlinear dynamical systems by recycled signal. Sci. China Technol. Sci. 59, 403–410 (2016). https://doi.org/10.1007/s11431-015-5993-y

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  • DOI: https://doi.org/10.1007/s11431-015-5993-y

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