Hopf bifurcation and chaos in fractional-order modified hybrid optical system

被引：4
|
作者：
Mohammed-Salah Abdelouahab
Nasr-Eddine Hamri
Junwei Wang
机构：
[1] University Center of Mila,Institute of Science and Technology
[2] Guangdong University of Foreign Studies,Cisco School of Informatics
来源：
Nonlinear Dynamics | 2012年 / 69卷
关键词：
Fractional system; Stability; Hopf bifurcation; Chaos;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a chaotic fractional-order modified hybrid optical system is presented. Some basic dynamical properties are further investigated by means of Poincaré mapping, parameter phase portraits, and the largest Lyapunov exponents. Fractional Hopf bifurcation conditions are proposed; it is found that Hopf bifurcation occurs on the proposed system when the fractional-order varies and passes a sequence of critical values. The chaotic motion is validated by the positive Lyapunov exponent. Finally, some numerical simulations are also carried out to illustrate our results.
引用
收藏
页码：275 / 284
页数：9
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