Spiral wave patterns in a two-dimensional lattice of nonlocally coupled maps modeling neural activity

被引：24
|
作者：
Bukh, Andrei [1 ]
Strelkova, Galina [1 ]
Anishchenko, Vadim [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Phys Dept, 83 Astrakhanskaya St, Saratov 410012, Russia
来源：
CHAOS SOLITONS & FRACTALS | 2019年 / 120卷
基金：
俄罗斯科学基金会;
关键词：
Spiral waves; Spiral wave chimera; Networks; Nonlocal coupling; Discrete map; CHIMERA STATES; DYNAMICS; POPULATIONS; MECHANISMS; NETWORKS;
D O I：
10.1016/j.chaos.2018.11.037
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate numerically the spatio-temporal dynamics of a 2D lattice of coupled discrete-time systems with nonlocal interaction. The individual map is given by a universal discrete system (the Nekorkin map) proposed for modeling the neural activity. The network behavior is studied for periodic and open boundary conditions. It is shown that for certain values of the nonlinear coupling parameters, rotating spiral waves and spiral wave chimeras can be observed in the considered lattice. We analyze and compare statistical and dynamical characteristics of the local oscillators from coherence and incoherence clusters of a spiral wave chimera. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：75 / 82
页数：8
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