Parameter-dependent synchronization of coupled neurons in cold receptor model

被引:2
|
作者
Du, Ying [1 ]
Wang, Rubin [1 ]
Han, Fang [2 ]
Lu, Qishao [3 ]
机构
[1] E China Univ Sci & Technol, Sch Sci, Inst Cognit Neurodynam, Shanghai 200237, Peoples R China
[2] Donghua Univ, Sch Informat Sci & Technol, Dept Automat, Shanghai 201620, Peoples R China
[3] Beihang Univ, Dept Dynam & Control, Beijing 100191, Peoples R China
基金
中国国家自然科学基金;
关键词
Synchronization; Neural spike train; ISI-distance; Correlation coefficient; Network; IMPULSE PATTERN; SLEEP; OSCILLATIONS; GENERATION; NOISE;
D O I
10.1016/j.ijnonlinmec.2014.10.007
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, synchronization in two coupled neurons with spiking, bursting and chaos firings is investigated as the coupling strength gets increased. Synchronization state can be identified by means of the bifurcation diagram, the correlation coefficient and ISI-distance. It is illustrated that the coupled neurons can exhibit different types of synchronization state when the coupling strength increases. The different synchronization processes appear similar, but their detailed processes are different depending on the parameter values. The synchronization of neuronal network with two different network connectivity patterns is also studied. It is shown that chaotic and high period pattern are more difficult to get complete synchronization than the situation in single spike and low period pattern. It is also demonstrated that the synchronization status of multiple neurons is dependent on the network connectivity patterns. These results may be instructive to understand synchronization in neuronal systems. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:95 / 104
页数:10
相关论文
共 50 条
  • [21] Face selectivity is parameter-dependent in FFA
    Yue, X.
    Holt, D. J.
    Cassidy, B. S.
    Devaney, K. J.
    Tootell, R. B. H.
    PERCEPTION, 2009, 38 : 80 - 80
  • [22] Parameter-dependent integral on time scales
    Chunmei Zhang
    Ke Wang
    Indian Journal of Pure and Applied Mathematics, 2014, 45 : 139 - 164
  • [23] PARAMETER-DEPENDENT INTEGRAL ON TIME SCALES
    Zhang, Chunmei
    Wang, Ke
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2014, 45 (02): : 139 - 163
  • [24] Correlations for parameter-dependent random matrices
    Forrester, PJ
    Nagao, T
    JOURNAL OF STATISTICAL PHYSICS, 1997, 89 (1-2) : 69 - 110
  • [25] A class of parameter-dependent commuting matrices
    Shastry, BS
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (23): : L431 - L437
  • [26] Parameter differentiation of linear operators with a parameter-dependent domain
    Lomovtsev, F. E.
    DOKLADY MATHEMATICS, 2012, 86 (01) : 571 - 573
  • [27] Random Maps with Parameter-Dependent Probabilities
    Behnia, Sohrab
    Jafarizadeh, Mohammad Ali
    Akhshani, Afshin
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2010, 79 (12)
  • [28] Parameter differentiation of linear operators with a parameter-dependent domain
    F. E. Lomovtsev
    Doklady Mathematics, 2012, 86 : 571 - 573
  • [29] On coprime factors for parameter-dependent systems
    Prempain, Emmanuel
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 5796 - 5800
  • [30] PARAMETER-DEPENDENT LAW OF THE ITERATED LOGARITHM
    KRUGLOV, VM
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 1988, 32 (01) : 68 - 76