搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

异质神经元的排列对环形耦合神经元网络频率同步的影响

孙晓娟 杨白桦 吴晔 肖井华

引用本文:
Citation:

异质神经元的排列对环形耦合神经元网络频率同步的影响

孙晓娟, 杨白桦, 吴晔, 肖井华

Effects of arrangement of heterogeneous neurons on frequency synchronization of a ring-coupled neuronal network

Sun Xiao-Juan, Yang Bai-Hua, Wu Ye, Xiao Jing-Hua
PDF
导出引用
  • 以一维环形耦合的非全同FitzHugh-Nagumo 神经元网络为研究对象,讨论这种异质神经元在环上的不同排列对其频率同步的影响. 研究结果显示,异质神经元的排列不同,对应的神经元网络达到频率同步所需的临界耦合强度也不完全相同. 在平均意义下,异质性较小的神经元在环上的距离越近,神经元网络达到频率同步所需的临界耦合强度越大;相反,异质性较大的神经元在环上的距离越近,神经元网络达到同步所需的临界耦合强度越小. 通过对频率同步过程的分析,进一步给出了产生这一现象的动力学机理.
    In this paper, we discuss the effects of heterogeneous neuron arrangement on the frequency synchronization of a ring-coupled FitzHugh-Nagumo neuronal network. The obtained numerical results reveal that the threshold of coupling strength for frequency synchronization may be different for different arrangements of the heterogeneous neurons on a ring. On average, the closer to each other the neurons which are less heterogeneous on a ring, the larger the critical coupling strength needed for neuronal network to achieve frequency synchronization is; the closer to each other the neurons which are more heterogeneous, the smaller the critical coupling strength needed for neuronal network to achieve frequency synchronization is. Furthermore, we give the underlined mechanism for this phenomenon by analyzing the process of frequency synchronization.
    • 基金项目: 国家自然科学基金(批准号:11272024,11375033)和中央高校基本科研业务费专项资金(批准号:2013RC0904)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11272024, 11375033), and the Fundamental Research Funds for the Central Universities (Grant No. 2013RC0904).
    [1]

    Uhlhaas P J, Singer W 2006 Neuron 52 155

    [2]

    Shi X, Lu Q S 2004 Chin. Phys. Lett. 21 1695

    [3]

    Wang H X, Lu Q S, Wang Q Y 2005 Chin. Phys. Lett. 22 2173

    [4]

    Neiman A, Schimansky-Geier L, Cornell-Bell A, Moss F 1999 Phys. Rev. Lett. 83 4896

    [5]

    Zhou C S, Kurths J 2003 Chaos 13 401

    [6]

    Shi X, Lu Q S 2005 Chin. Phys. 14 1088

    [7]

    Dhamala M, Jirsa V K, Ding M Z 2004 Phys. Rev. Lett. 92 074104

    [8]

    Wang Q Y, Duan Z S, Perc M, Chen G R 2008 Europhys. Lett. 83 50008

    [9]

    Perc M 2007 Chaos, Solition. Fract. 31 280

    [10]

    Zhou C S, Kurths J, Hu B B 2001 Phys. Rev. Lett. 87 098101

    [11]

    Li Y Y, Jia B, Gu H G, An S C 2012 Commun. Theoret. Phys. 57 817

    [12]

    Wiercigroch M, Ji Q B, Han F, Lu Q S 2009 Chin. Phys. B 18 482

    [13]

    Jia B, Gu H G 2012 Acta Phys. Sin. 61 240505(in Chinese)[贾冰, 古华光 2012 物理学报 61 240505]

    [14]

    Wu Y, Xiao J H, Hu G, Zhan M 2012 Europhys. Lett. 97 40005

    [15]

    Tiitinen H, Sinkkonen J, Reinikainen K, Alho K, Lavikainen J, Nätänen R 1993 Nature 364 59

    [16]

    Pfurtscheller G, Neuper C, Andrew C, Edlinger G 1997 Int. J. Psychophys. 26 121

    [17]

    Fitzhugh R 1961 Biophys. J. 1 445

    [18]

    Nagumo J S, Arimoto S, Yashizawa S 1962 Proc. the IRE 50 2061

    [19]

    Arenas A, Diaz-Guilera A, Kurths J, Moreno Y, Zhou C S 2008 Phys. Reports 469 93

  • [1]

    Uhlhaas P J, Singer W 2006 Neuron 52 155

    [2]

    Shi X, Lu Q S 2004 Chin. Phys. Lett. 21 1695

    [3]

    Wang H X, Lu Q S, Wang Q Y 2005 Chin. Phys. Lett. 22 2173

    [4]

    Neiman A, Schimansky-Geier L, Cornell-Bell A, Moss F 1999 Phys. Rev. Lett. 83 4896

    [5]

    Zhou C S, Kurths J 2003 Chaos 13 401

    [6]

    Shi X, Lu Q S 2005 Chin. Phys. 14 1088

    [7]

    Dhamala M, Jirsa V K, Ding M Z 2004 Phys. Rev. Lett. 92 074104

    [8]

    Wang Q Y, Duan Z S, Perc M, Chen G R 2008 Europhys. Lett. 83 50008

    [9]

    Perc M 2007 Chaos, Solition. Fract. 31 280

    [10]

    Zhou C S, Kurths J, Hu B B 2001 Phys. Rev. Lett. 87 098101

    [11]

    Li Y Y, Jia B, Gu H G, An S C 2012 Commun. Theoret. Phys. 57 817

    [12]

    Wiercigroch M, Ji Q B, Han F, Lu Q S 2009 Chin. Phys. B 18 482

    [13]

    Jia B, Gu H G 2012 Acta Phys. Sin. 61 240505(in Chinese)[贾冰, 古华光 2012 物理学报 61 240505]

    [14]

    Wu Y, Xiao J H, Hu G, Zhan M 2012 Europhys. Lett. 97 40005

    [15]

    Tiitinen H, Sinkkonen J, Reinikainen K, Alho K, Lavikainen J, Nätänen R 1993 Nature 364 59

    [16]

    Pfurtscheller G, Neuper C, Andrew C, Edlinger G 1997 Int. J. Psychophys. 26 121

    [17]

    Fitzhugh R 1961 Biophys. J. 1 445

    [18]

    Nagumo J S, Arimoto S, Yashizawa S 1962 Proc. the IRE 50 2061

    [19]

    Arenas A, Diaz-Guilera A, Kurths J, Moreno Y, Zhou C S 2008 Phys. Reports 469 93

计量
  • 文章访问数:  4648
  • PDF下载量:  407
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-04-02
  • 修回日期:  2014-05-21
  • 刊出日期:  2014-09-05

/

返回文章
返回