Synchronization of multiple bursting neurons ring coupled via impulsive variables

被引：8
|
作者：
Wang, Zuolei [1 ,2 ]
Jiang, Yaolin [1 ]
Li, Hongli [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Yancheng Teachers Univ, Sch Math Sci, Yancheng 224002, Peoples R China
来源：
COMPLEXITY | 2015年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
synchronization; Hindmarsh-Rose neuron; chaotic bursting; Lyapunov function; impulse; NEURAL-NETWORKS; STABILITY ANALYSIS; COMPLEX NETWORKS; STATE ESTIMATION; SYSTEMS; UNCERTAINTIES; DELAYS;
D O I：
10.1002/cplx.21575
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Synchronization behavior of bursting neurons is investigated in a neuronal network ring impulsively coupled, in which each neuron exhibits chaotic bursting behavior. Based on the Lyapunov stability theory and impulsive control theory, sufficient conditions for synchronization of the multiple systems coupled with impulsive variables can be obtained. The neurons become synchronous via suitable impulsive strength and resetting period. Furthermore, the result is obtained that synchronization among neurons is weakened with the increasing of the reset period and the number of neurons. Finally, numerical simulations are provided to show the effectiveness of the theoretical results.(c) 2014 Wiley Periodicals, Inc.
引用
收藏
页码：29 / 37
页数：9
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