The 0-1 test algorithm for chaos and its applications

被引:69
|
作者
Sun Ke-Hui [1 ]
Liu Xuan [1 ]
Zhu Cong-Xu [2 ]
机构
[1] Cent S Univ, Sch Phys Sci & Technol, Changsha 410083, Peoples R China
[2] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
关键词
chaos; 0-1; test; fractional-order system; Lyapunov exponent; CIRCUIT; SYSTEM; SYNCHRONIZATION;
D O I
10.1088/1674-1056/19/11/110510
中图分类号
O4 [物理学];
学科分类号
0702 ;
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
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页数:7
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