两个耦合单稳态神经元的混沌吸引子的出现及反同步

Emergence of chaotic attractor and anti-synchronization for two coupled monostable neurons.

作者信息

Courbage M, Kazantsev V B, Nekorkin V I, Senneret M

机构信息

Université Paris 7-Denis Diderot/L.P.T.M.C., Fédération Matière et systèmes Complexes, 4 Place Jussieu, 75251 Paris Cedex 05, France.

出版信息

Chaos. 2004 Dec;14(4):1148-56. doi: 10.1063/1.1821691.

DOI:10.1063/1.1821691

PMID:15568928

Abstract

The dynamics of two coupled piece-wise linear one-dimensional monostable maps is investigated. The single map is associated with Poincare section of the FitzHugh-Nagumo neuron model. It is found that a diffusive coupling leads to the appearance of chaotic attractor. The attractor exists in an invariant region of phase space bounded by the manifolds of the saddle fixed point and the saddle periodic point. The oscillations from the chaotic attractor have a spike-burst shape with anti-phase synchronized spiking.

摘要

研究了两个耦合的分段线性一维单稳映射的动力学。单个映射与FitzHugh-Nagumo神经元模型的庞加莱截面相关联。发现扩散耦合导致混沌吸引子的出现。该吸引子存在于由鞍点不动点和鞍点周期点的流形界定的相空间不变区域中。混沌吸引子的振荡具有尖峰-爆发形状且尖峰反相同步。