Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay

doi:10.1088/1674-1056/abfa09

中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120503-120503.doi: 10.1088/1674-1056/abfa09

Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay

Mei Li(李梅)^1,2, Ruo-Xun Zhang(张若洵)³, and Shi-Ping Yang(杨世平)^1,†

1 College of Physics, Hebei Normal University, Shijiazhuang 050024, China;
2 Department of Computer Science, North China Electric Power University, Baoding 071003, China;
3 College of Primary Education, Xingtai University, Xingtai 054001, China

收稿日期:2021-03-02 修回日期:2021-04-08 接受日期:2021-04-21 出版日期:2021-11-15 发布日期:2021-11-25
通讯作者: Shi-Ping Yang E-mail:yangship@hebtu.edu.cn
基金资助:
Project supported by the Science and Technology Support Program of Xingtai, China (Grant No. 2019ZC054).

Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay

Mei Li(李梅)^1,2, Ruo-Xun Zhang(张若洵)³, and Shi-Ping Yang(杨世平)^1,†

1 College of Physics, Hebei Normal University, Shijiazhuang 050024, China;
2 Department of Computer Science, North China Electric Power University, Baoding 071003, China;
3 College of Primary Education, Xingtai University, Xingtai 054001, China

Received:2021-03-02 Revised:2021-04-08 Accepted:2021-04-21 Online:2021-11-15 Published:2021-11-25
Contact: Shi-Ping Yang E-mail:yangship@hebtu.edu.cn
Supported by:
Project supported by the Science and Technology Support Program of Xingtai, China (Grant No. 2019ZC054).

摘要/Abstract

摘要： This paper is concerned with the adaptive synchronization of fractional-order complex-valued chaotic neural networks (FOCVCNNs) with time-delay. The chaotic behaviors of a class of fractional-order complex-valued neural network are investigated. Meanwhile, based on the complex-valued inequalities of fractional-order derivatives and the stability theory of fractional-order complex-valued systems, a new adaptive controller and new complex-valued update laws are proposed to construct a synchronization control model for fractional-order complex-valued chaotic neural networks. Finally, the numerical simulation results are presented to illustrate the effectiveness of the developed synchronization scheme.

关键词: adaptive synchronization, fractional calculus, complex-valued chaotic neural networks, time-delay

Abstract: This paper is concerned with the adaptive synchronization of fractional-order complex-valued chaotic neural networks (FOCVCNNs) with time-delay. The chaotic behaviors of a class of fractional-order complex-valued neural network are investigated. Meanwhile, based on the complex-valued inequalities of fractional-order derivatives and the stability theory of fractional-order complex-valued systems, a new adaptive controller and new complex-valued update laws are proposed to construct a synchronization control model for fractional-order complex-valued chaotic neural networks. Finally, the numerical simulation results are presented to illustrate the effectiveness of the developed synchronization scheme.

Key words: adaptive synchronization, fractional calculus, complex-valued chaotic neural networks, time-delay

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Pq (Numerical simulations of chaotic systems) 05.45.Xt (Synchronization; coupled oscillators)

Mei Li(李梅), Ruo-Xun Zhang(张若洵), and Shi-Ping Yang(杨世平). Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay[J]. 中国物理B, 2021, 30(12): 120503-120503.

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Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay

Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay

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