中国物理B ›› 2006, Vol. 15 ›› Issue (11): 2553-2557.doi: 10.1088/1009-1963/15/11/016

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Synchronization and coherence resonance in chaotic neural networks

侯中怀1, 辛厚文1, 汪茂胜2   

  1. (1)Department of Chemical Physics, University of Science and Technology of China,Hefei 230026, China; (2)Department of Chemical Physics, University of Science and Technology of China,Hefei 230026, China; College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000
  • 收稿日期:2006-02-23 修回日期:2006-04-14 出版日期:2006-11-20 发布日期:2006-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 20433050), the Program for New Century Excellent Talents in University, the Fok Ying Dong Education Foundation and the Foundation for the Author of National Excellent Doctoral Dissertation of China.

Synchronization and coherence resonance in chaotic neural networks

Wang Mao-Sheng(汪茂胜)a)b), Hou Zhong-Huai(侯中怀)a)†, and Xin Hou-Wen(辛厚文)a)   

  1. a Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China; b College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000, China
  • Received:2006-02-23 Revised:2006-04-14 Online:2006-11-20 Published:2006-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 20433050), the Program for New Century Excellent Talents in University, the Fok Ying Dong Education Foundation and the Foundation for the Author of National Excellent Doctoral Dissertation of China.

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摘要： Synchronization and coherence of chaotic Morris--Lecar (ML) neural networks have been investigated by numerical methods. The synchronization of the neurons can be enhanced by increasing the number of the shortcuts, even though all neurons are chaotic when uncoupled. Moreover, the coherence of the neurons exhibits a non-monotonic dependence on the density of shortcuts. There is an optimal number of shortcuts at which the neurons' motion is most ordered, i.e. the order parameter (the characteristic correlation time) that is introduced to measure the coherence of the neurons has a maximum. These phenomena imply that stochastic shortcuts can tame spatiotemporal chaos. The effects of the coupling strength have also been studied. The value of the optimal number of shortcuts goes down as the coupling strength increases.

关键词: synchronization, coherence, chaotic neuron, complex networks

Abstract: Synchronization and coherence of chaotic Morris--Lecar (ML) neural networks have been investigated by numerical methods. The synchronization of the neurons can be enhanced by increasing the number of the shortcuts, even though all neurons are chaotic when uncoupled. Moreover, the coherence of the neurons exhibits a non-monotonic dependence on the density of shortcuts. There is an optimal number of shortcuts at which the neurons' motion is most ordered, i.e. the order parameter (the characteristic correlation time) that is introduced to measure the coherence of the neurons has a maximum. These phenomena imply that stochastic shortcuts can tame spatiotemporal chaos. The effects of the coupling strength have also been studied. The value of the optimal number of shortcuts goes down as the coupling strength increases.

Key words: synchronization, coherence, chaotic neuron, complex networks

中图分类号:  (Neural networks and synaptic communication)

  • 87.18.Sn
05.45.Xt (Synchronization; coupled oscillators) 87.16.D- (Membranes, bilayers, and vesicles) 87.18.Hf (Spatiotemporal pattern formation in cellular populations) 87.19.L- (Neuroscience)