The 0-1 test algorithm for chaos and its applications  

作　　者：孙克辉 刘璇 朱从旭 

机构地区：[1]School of Physics Science and Technology,Central South University [2]School of Information Science and Engineering,Central South University

出　　处：《Chinese Physics B》2010年第11期200-206,共7页中国物理B（英文版）

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

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.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.

关 键 词：CHAOS 0-1 test fractional-order system Lyapunov exponent 

分 类 号：O415.5[理学—理论物理] TP333[理学—物理]