The Mechanism of Bifurcation-Dependent Coherence Resonance of Morris-Lecar Neuron Model

被引：0
|
作者：
Zhang, Guangjun [1 ]
Xu, Jianxue [1 ]
Wang, Jue [1 ]
Yue, Zhifeng [1 ]
Liu, Chunbo [1 ]
Yao, Hong [1 ]
Wang, Xiangbo [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Aerosp, Xian 710049, Peoples R China
来源：
ADVANCES IN COGNITIVE NEURODYNAMICS, PROCEEDINGS | 2008年
基金：
美国国家科学基金会;
关键词：
Coherence resonance; transition; bifurcation point; Morris-Lecar neuron model;
D O I：
10.1007/978-1-4020-8387-7_17
中图分类号：
Q189 [神经科学];
学科分类号：
071006 ;
摘要：
The mechanism of bifurcation-dependent coherence resonance (CR) of excited neuron model is related to the system motion random transitions between attractors on two sides of bifurcation point. In this paper, the relation between the random transitions and the mechanism of bifurcation-dependent CR is examined in Morris-Lecar (ML) neuron model. Here we show that there exist different attractors on two sides of ML neuron model Hopf bifurcation point and that the system motion may transit between attractors on two sides of bifurcation point at the presence of noise. And the frequency of transitions tend towards a certain frequency for a certain optimal noise intensity, the signal-noise-ratio of system response evaluated at this certain frequency is maximal at the optimal noise intensity, CR occurs.
引用
收藏
页码：83 / +
页数：3
相关论文
共 50 条
  • [1] Bifurcation analysis of a Morris-Lecar neuron model
    Liu, Congmin
    Liu, Xuanliang
    Liu, Shenquan
    BIOLOGICAL CYBERNETICS, 2014, 108 (01) : 75 - 84
  • [2] Mechanism of bifurcation-dependent coherence resonance of an excitable neuron model
    Zhang, Guang-Jun
    Xu, Jian-Xue
    Yao, Hong
    Wei, Rui-Xuan
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2006, 7 (04) : 447 - 450
  • [3] Mechanism of bifurcation-dependent coherence resonance of excitable neuron model
    Zhang, Guang-Jun
    Wang, Jue
    Xu, Jian-Xue
    Wang, Xiang-Bo
    Yao, Hong
    DIGITAL HUMAN MODELING, 2007, 4561 : 757 - 766
  • [4] Mechanism of bifurcation-dependent coherence resonance of Hindmarsh-Rose neuron model
    Zhang, Guangjun
    Xu, JianXue
    Yao, Hong
    Li, Xueren
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2007, 14 : 52 - 56
  • [5] Noise-Induced Coherence Resonance in Morris-Lecar Neuron System
    Wang, Bao-Hua
    Lu, Qi-Shao
    Sun, Xiao-Juan
    ADVANCES IN COGNITIVE NEURODYNAMICS, PROCEEDINGS, 2008, : 91 - +
  • [6] Bifurcations in Morris-Lecar neuron model
    Tsumoto, K
    Kitajima, H
    Yoshinaga, T
    Aihara, K
    Kawakami, H
    NEUROCOMPUTING, 2006, 69 (4-6) : 293 - 316
  • [7] Numerical Bifurcation Analysis of Improved Denatured Morris-Lecar Neuron Model
    Fatoyinbo, Hammed Olawale
    Muni, Sishu Shankar
    Ghosh, Indranil
    Sarumi, Ibrahim Olatunji
    Abidemi, Afeez
    2022 INTERNATIONAL CONFERENCE ON DECISION AID SCIENCES AND APPLICATIONS (DASA), 2022, : 55 - 60
  • [8] Structural stability for the Morris-Lecar neuron model
    Liu, Zhenhai
    Tatar, Salih
    Ulusoy, Suleyman
    Zeki, Mustafa
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 : 261 - 268
  • [9] An electronic implementation for Morris-Lecar neuron model
    Hu, Xiaoyu
    Liu, Chongxin
    Liu, Ling
    Ni, Junkang
    Li, Shilei
    NONLINEAR DYNAMICS, 2016, 84 (04) : 2317 - 2332
  • [10] Electrical Morris-Lecar neuron
    Behdad, Rachid
    Binczak, Stephane
    Nekorkin, Vladimir I.
    Dmitrichev, Alexey S.
    Bilbault, Jean-Marie
    2013 35TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY (EMBC), 2013, : 5001 - 5004
12345