Chaos and Hopf bifurcation control in a fractional-order memristor-based chaotic system with time delay

被引：27
|
作者：
Ding, Dawei [1 ,2 ]
Qian, Xin [2 ]
Hu, Wei [2 ]
Wang, Nian [1 ,2 ]
Liang, Dong [1 ,2 ]
机构：
[1] Anhui Univ, Minist Educ, Key Lab Intelligent Comp & Signal Proc, Hefei, Anhui, Peoples R China
[2] Anhui Univ, Sch Elect & Informat Engn, Hefei 230601, Anhui, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 11期
关键词：
PROJECTIVE SYNCHRONIZATION; ANTI-SYNCHRONIZATION; NONLINEAR DYNAMICS; NEURAL-NETWORKS; HYBRID CONTROL; STABILITY;
D O I：
10.1140/epjp/i2017-11699-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a time-delayed feedback controller is proposed in order to control chaos and Hopf bifurcation in a fractional-order memristor-based chaotic system with time delay. The associated characteristic equation is established by regarding the time delay as a bifurcation parameter. A set of conditions which ensure the existence of the Hopf bifurcation are gained by analyzing the corresponding characteristic equation. Then, we discuss the influence of feedback gain on the critical value of fractional order and time delay in the controlled system. Theoretical analysis shows that the controller is effective in delaying the Hopf bifurcation critical value via decreasing the feedback gain. Finally, some numerical simulations are presented to prove the validity of our theoretical analysis and confirm that the time-delayed feedback controller is valid in controlling chaos and Hopf bifurcation in the fractional-order memristor-based system.
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页数：12
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