Exact synchronization of noisy bursting neurons with coupling delays

被引：6
作者：
Buric, Nikola [1 ]
Todorovic, Kristina [2 ]
Vasovic, Nebojsa [3 ]
机构：
[1] Univ Belgrade, Inst Phys, Belgrade 11080, Serbia
[2] Univ Belgrade, Fac Pharm, Dept Math & Phys, Belgrade, Serbia
[3] Fac Min & Geol, Dept Appl Math, Belgrade, Serbia
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 03期
关键词：
MODEL; STABILITY; SYSTEMS;
D O I：
10.1016/j.chaos.2007.08.067
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Exact synchronization of a pair of stochastically perturbed Hindmarsh-Rose bursting neurons with delayed electrical coupling is studied. Possibility of stochastically stable exact synchronization with sufficiently strong coupling is proved for arbitrary time-lags and sufficiently small noise. Various effects of the interplay and influence of noise and time-delay oil the exact synchrony are studied by numerical computations. (C) 2009 Published by Elsevier Ltd.
引用
收藏
页码：1127 / 1135
页数：9
相关论文
共 37 条
[1]   Synchronized action of synaptically coupled chaotic model neurons [J].
Abarbanel, HDI ;
Huerta, R ;
Rabinovich, MI ;
Rulkov, NF ;
Rowat, PF ;
Selverston, AI .
NEURAL COMPUTATION, 1996, 8 (08) :1567-1602
[2]  
[Anonymous], SYNCHRONIZATION EMER
[3]  
[Anonymous], 1991, Principles of Neural Science
[4]   Locally active Hindmarsh-Rose neurons [J].
Arena, P ;
Fortuna, L ;
Frasca, M ;
La Rosa, M .
CHAOS SOLITONS & FRACTALS, 2006, 27 (02) :405-412
[5]   Razumikhin-type theorems on stability of stochastic neural networks with delays [J].
Blythe, S ;
Mao, XR ;
Shah, A .
STOCHASTIC ANALYSIS AND APPLICATIONS, 2001, 19 (01) :85-101
[6]   Type I vs. type II excitable systems with delayed coupling [J].
Buric, N ;
Grozdanovic, I ;
Vasovic, N .
CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1221-1233
[7]   Dynamics of FitzHugh-Nagumo excitable systems with delayed coupling [J].
Buric, N ;
Todorovic, D .
PHYSICAL REVIEW E, 2003, 67 (06) :15
[8]  
BURIC N, CHAOS SOLIT IN PRESS
[9]   Bursting neurons with coupling delays [J].
Buric, Nikola ;
Rankovic, Dragana .
PHYSICS LETTERS A, 2007, 363 (04) :282-289
[10]   Synchronization of noisy delayed feedback systems with delayed coupling [J].
Buric, Nikola ;
Todorovic, Kristina ;
Vasovic, Nebojsa .
PHYSICAL REVIEW E, 2007, 75 (02)
1234