The 0-1 test algorithm for chaos and its applications

doi:10.1088/1674-1056/19/11/110510

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.

Keywords: chaos 0-1 test fractional-order system Lyapunov exponent

Received: 04 March 2010
Revised: 21 May 2010
Accepted manuscript online:

PACS:

05.45.Pq

(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of of China (Grant No. 60672041).

Cite this article:

Sun Ke-Hui(孙克辉), Liu Xuan(刘璇), and Zhu Cong-Xu(朱从旭) The 0-1 test algorithm for chaos and its applications 2010 Chin. Phys. B 19 110510

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