4.5 Article

The 0-1 test algorithm for chaos and its applications

期刊

CHINESE PHYSICS B
卷 19, 期 11, 页码 -

出版社

IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/19/11/110510

关键词

chaos; 0-1 test; fractional-order system; Lyapunov exponent

资金

  1. National Natural Science Foundation of of China [60672041]

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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

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