Synchronization of locally coupled neural oscillators

被引：18
|
作者：
Dragoi, V [1 ]
Grosu, I [1 ]
机构：
[1] MIT, Dept Brain & Cognit Sci, Cambridge, MA 02139 USA
来源：
NEURAL PROCESSING LETTERS | 1998年 / 7卷 / 03期
关键词：
asymptotic stability; Fitzhugh-Nagumo model; local connections; neural networks; oscillations; synchronization;
D O I：
10.1023/A:1009618318908
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A new method of controlling Fitzhugh-Nagumo (F-N) neural oscillators, Fitzhugh [1], with local coupling is presented. It is proved that through the use of an additive closed-loop controlling action that entrains each neural oscillator to a 'goal' behavior, necessary and sufficient conditions for the occurrence of synchronization in networks of unidirectionally self-connected neural oscillators are obtained in terms of asymptotic stability. These conditions suggest that rapid global synchronization can be achieved using sufficiently strong local inhibitory connections.
引用
收藏
页码：199 / 210
页数：12
相关论文
共 50 条
  • [41] Synchronization of oscillators coupled through an environment
    Katriel, Guy
    PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (22) : 2933 - 2944
  • [42] A Stochastic Approach to the Synchronization of Coupled Oscillators
    Biccari, Umberto
    Zuazua, Enrique
    FRONTIERS IN ENERGY RESEARCH, 2020, 8
  • [43] Synchronization in populations of coupled chemical oscillators
    Tinsley, Mark
    Nkomo, Simbarashe
    Showalter, Kenneth
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2012, 244
  • [44] Synchronization in a coupled architecture of microelectromechanical oscillators
    Agrawal, Deepak K.
    Woodhouse, Jim
    Seshia, Ashwin A.
    JOURNAL OF APPLIED PHYSICS, 2014, 115 (16)
  • [45] Synchronization in coupled oscillators with multiplex interactions
    Wang Xue-Bin
    Xu Can
    Zheng Zhi-Gang
    ACTA PHYSICA SINICA, 2020, 69 (17)
  • [46] Synchronization of Two Coupled Phase Oscillators
    Wu, Yongqing
    Li, Changpin
    Sun, Weigang
    Wu, Yujiang
    DYNAMICAL SYSTEMS AND METHODS, 2012, : 105 - 113
  • [47] Synchronization and entrainment of coupled circadian oscillators
    Komin, N.
    Murza, A. C.
    Hernandez-Garcia, E.
    Toral, R.
    INTERFACE FOCUS, 2011, 1 (01) : 167 - 176
  • [48] Synchronization analysis of coupled noncoherent oscillators
    Kurths, Juergen
    Romano, M. Carmen
    Thiel, Marco
    Osipov, Grigory V.
    Ivanchenko, Mikhail V.
    Kiss, Istvan Z.
    Hudson, John L.
    NONLINEAR DYNAMICS, 2006, 44 (1-4) : 135 - 149
  • [49] Synchronization in networks of coupled oscillators with mismatches
    Nazerian, Amirhossei
    Panahi, Shirin
    Sorrentino, Francesco
    EPL, 2023, 143 (01)
  • [50] Synchronization Analysis in Models of Coupled Oscillators
    Toso, Guilherme
    Breve, Fabricio
    COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2020, PT I, 2020, 12249 : 889 - 904
12345