中国物理B ›› 2010, Vol. 19 ›› Issue (11): 110510-110513.doi: 10.1088/1674-1056/19/11/110510

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The 0-1 test algorithm for chaos and its applications

朱从旭1, 孙克辉2, 刘璇2   

  1. (1)School of Information Science and Engineering, Central South University, Changsha 410083, China; (2)School of Physics Science and Technology, Central South University, Changsha 410083, China
  • 收稿日期:2010-03-04 修回日期:2010-05-21 出版日期:2010-11-15 发布日期:2010-11-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of of China (Grant No. 60672041).

The 0-1 test algorithm for chaos and its applications

Sun Ke-Hui(孙克辉)a)†, Liu Xuan(刘璇) a), and Zhu Cong-Xu(朱从旭)b)   

  1. a School of Physics Science and Technology, Central South University, Changsha 410083, China; b School of Information Science and Engineering, Central South University, Changsha 410083, China
  • Received:2010-03-04 Revised:2010-05-21 Online:2010-11-15 Published:2010-11-15
  • Supported by:
    Project supported by the National Natural Science Foundation of of China (Grant No. 60672041).

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摘要： To determine whether a given deterministic nonlinear dynamic system is chaotic or periodic, a novel test approach named zero-one (0-1) test has been proposed recently. In this approach, the regular and chaotic motions can be decided by calculating the parameter K approaching asymptotically to zero or one. In this study, we focus on the 0-1 test algorithm and illustrate the selection of parameters of this algorithm by numerical experiments. To validate the reliability and the universality of this algorithm, it is applied to typical nonlinear dynamic systems, including fractional-order dynamic system.

Abstract: To determine whether a given deterministic nonlinear dynamic system is chaotic or periodic, a novel test approach named zero-one (0-1) test has been proposed recently. In this approach, the regular and chaotic motions can be decided by calculating the parameter K approaching asymptotically to zero or one. In this study, we focus on the 0-1 test algorithm and illustrate the selection of parameters of this algorithm by numerical experiments. To validate the reliability and the universality of this algorithm, it is applied to typical nonlinear dynamic systems, including fractional-order dynamic system.

Key words: chaos, 0-1 test, fractional-order system, Lyapunov exponent

中图分类号:  (Numerical simulations of chaotic systems)

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