期刊
NONLINEAR DYNAMICS
卷 73, 期 1-2, 页码 439-448出版社
SPRINGER
DOI: 10.1007/s11071-013-0799-6
关键词
0-1 test for chaos; Parameter identification; Fractional-order delayed system; Caputo fractional derivative; Particle swarm optimization
资金
- Natural Science Foundation of Guangdong Province [100860]
- National Natural Science Foundation of China [11271139]
- Tianyuan Fund for Mathematics [10871074]
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据