中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4080-4090.doi: 10.1088/1674-1056/17/11/022

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Synchronization of stochastically hybrid coupled neural networks with coupling discrete and distributed time-varying delays

唐 漾1, 方建安1, 钟恢凰2   

  1. (1)Department of Automation, Donghua University, Shanghai 201620, China; (2)Department of Communication, Donghua University, Shanghai 201620, China
  • 收稿日期:2008-04-29 修回日期:2008-06-03 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60874113).

Synchronization of stochastically hybrid coupled neural networks with coupling discrete and distributed time-varying delays

Tang Yang (唐漾)a, Zhong Hui-Huang(钟恢凰)b,  Fang Jian-An(方建安)a   

  1. a Department of Automation, Donghua University, Shanghai 201620, China; b Department of Communication, Donghua University, Shanghai 201620, China
  • Received:2008-04-29 Revised:2008-06-03 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60874113).

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摘要： A general model of linearly stochastically coupled identical connected neural networks with hybrid coupling is proposed, which is composed of constant coupling, coupling discrete time-varying delay and coupling distributed time-varying delay. All the coupling terms are subjected to stochastic disturbances described in terms of Brownian motion, which reflects a more realistic dynamical behaviour of coupled systems in practice. Based on a simple adaptive feedback controller and stochastic stability theory, several sufficient criteria are presented to ensure the synchronization of linearly stochastically coupled complex networks with coupling mixed time-varying delays. Finally, numerical simulations illustrated by scale-free complex networks verify the effectiveness of the proposed controllers.

关键词: stochastically hybrid coupling, discrete and distributed time-varying delays, complex dynamical networks, chaotic neural networks

Abstract: A general model of linearly stochastically coupled identical connected neural networks with hybrid coupling is proposed, which is composed of constant coupling, coupling discrete time-varying delay and coupling distributed time-varying delay. All the coupling terms are subjected to stochastic disturbances described in terms of Brownian motion, which reflects a more realistic dynamical behaviour of coupled systems in practice. Based on a simple adaptive feedback controller and stochastic stability theory, several sufficient criteria are presented to ensure the synchronization of linearly stochastically coupled complex networks with coupling mixed time-varying delays. Finally, numerical simulations illustrated by scale-free complex networks verify the effectiveness of the proposed controllers.

Key words: stochastically hybrid coupling, discrete and distributed time-varying delays, complex dynamical networks, chaotic neural networks

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.40.Jc (Brownian motion) 05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems) 07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)