Chaotic synchronization of neurons coupled with gap junction under external electrical stimulation

被引：68
|
作者：
Jiang, W [1 ]
Deng, B
Tsang, KM
机构：
[1] Tianjin Univ, Sch Elect Engn, Tianjin 300072, Peoples R China
[2] Hong Kong Polytech Univ, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2004年 / 22卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.chaos.2004.02.029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The synchronization of neurons coupled with gap junction in the condition of external electrical stimulation is investigated. In this paper, the coupled model is established on the basis of the nonlinear cable equation, and then the relation of coupling strength of the gap junction and the synchronization is discussed in detail. The sufficient condition of complete synchronization is obtained from rigorous mathematical derivation. The synchronizations of periodic neurons and chaotic neurons are studied, respectively. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：469 / 476
页数：8
相关论文
共 50 条
  • [41] Synchronization of coupled chaotic Hindmarsh Rose neurons:An adaptive approach
    魏伟
    Chinese Physics B, 2015, 24 (10) : 97 - 104
  • [42] Bifurcation transitions in gap-junction-coupled neurons
    Shaffer, Annabelle
    Harris, Allison L.
    Follmann, Rosangela
    Rosa, Epaminondas, Jr.
    PHYSICAL REVIEW E, 2016, 94 (04)
  • [43] Effect of internal and external chaotic stimuli on synchronization of piezoelectric auditory neurons in coupled time-delay systems
    Huang, Guodong
    Zhou, Shu
    Zhu, Rui
    Wang, Yunhai
    Chai, Yuan
    COGNITIVE NEURODYNAMICS, 2024, 18 (04) : 2111 - 2126
  • [44] LMI-based robust adaptive synchronization of FitzHugh-Nagumo neurons with unknown parameters under uncertain external electrical stimulation
    Rehan, Muhammad
    Hong, Keum-Shik
    PHYSICS LETTERS A, 2011, 375 (15) : 1666 - 1670
  • [45] Transition to complete synchronization via near-synchronization in two coupled chaotic neurons
    Wang, QY
    Lu, QS
    Wang, HX
    CHINESE PHYSICS, 2005, 14 (11): : 2189 - 2195
  • [46] Introducing internal model to robust output synchronization of FitzHugh-Nagumo neurons in external electrical stimulation
    Wei, Xile
    Wang, Jiang
    Deng, Bin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (07) : 3108 - 3119
  • [47] Adaptive Chaotic Synchronization of Hindmarsh-Rose Network with Gap-junction
    Li Huiyan
    Wang Jiang
    Jia Chenhui
    Deng Bin
    Wei Xile
    Che Yanqiu
    Qin Yingmei
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 5646 - 5649
  • [48] Criteria for synchronization of coupled chaotic external-cavity semiconductor lasers
    Revuelta, J
    Mirasso, CR
    Colet, P
    Pesquera, L
    IEEE PHOTONICS TECHNOLOGY LETTERS, 2002, 14 (02) : 140 - 142
  • [49] Complete synchronization in coupled chaotic HR neurons with symmetric coupling schemes
    Wang, HX
    Lu, QS
    Wang, QY
    CHINESE PHYSICS LETTERS, 2005, 22 (09) : 2173 - 2175
  • [50] Synchronization properties of coupled chaotic neurons: The role of random shared input
    Kumar, Rupesh
    Bilal, Shakir
    Ramaswamy, Ram
    CHAOS, 2016, 26 (06)
12345