Chaos detection and parameter identification in fractional-order chaotic systems with delay

被引：3
|
作者：
Liguo Yuan
Qigui Yang
Caibin Zeng
机构：
[1] South China Agricultural University,Department of Applied Mathematics
[2] South China University of Technology,School of Sciences
[3] Utah State University,Center for Self
来源：
Nonlinear Dynamics | 2013年 / 73卷
关键词：
0–1 test for chaos; Parameter identification; Fractional-order delayed system; Caputo fractional derivative; Particle swarm optimization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper first applies the 0–1 test for chaos to detecting chaos exhibited by fractional-order delayed systems. The results of the test reveal that there exists chaos in some fractional-order delayed systems with specific parameter values, which coincides with previous reports based on the phase portrait. In addition, it is very important to identify exactly the unknown specific parameters of fractional-order chaotic delayed systems in chaos control and synchronization. Thus, a method for parameter identification of fractional-order chaotic delayed systems based on particle swarm optimization (PSO) is presented. By treating the orders as parameters, the parameters and orders are identified through minimizing an objective function. PSO can efficiently find the optimal feasible solution of the objective function. Finally, numerical simulations on fractional-order chaotic logistic delayed system and fractional-order chaotic Chen delayed system show that the proposed method has effective performance of parameter identification.
引用
收藏
页码：439 / 448
页数：9
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