Spiral wave chimeras in nonlocally coupled excitable FitzHugh–Nagumo neurons

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-10-30 DOI:10.1016/j.chaos.2024.115681

Yang Li, Haihong Li, Shun Gao, Yirui Chen, Qionglin Dai, Junzhong Yang

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引用次数: 0

Abstract

Chimera states in excitable systems have received extensive attention in recent years. However, the spiral wave chimera in a two-dimensional excitable system has not been observed yet. In this study, we investigate spiral wave chimeras in two-dimensional nonlocally coupled excitable FitzHugh–Nagumo neurons. Depending on the relative coupling radius and the coupling phase, we find spiral wave chimeras numerically. We also find a novel spiral wave pattern, the spiral wave amplitude death chimera, characterized by a non-excited core. By exploring the phase diagram of different spiral wave chimera dynamics, we find the transition between spiral wave chimeras with an incoherent core and spiral wave amplitude death chimeras with a non-excited core when the coupling phase crosses

π / 2

. We also find that large

a

(the parameter in the FitzHugh–Nagumo neuron) favors the spiral wave amplitude death chimera.

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非局部耦合可兴奋 FitzHugh-Nagumo 神经元中的螺旋波嵌合体

近年来，可激发系统中的嵌合态受到广泛关注。然而，二维可兴奋系统中的螺旋波嵌合态尚未被观测到。在本研究中，我们研究了二维非局部耦合可激 FitzHugh-Nagumo 神经元中的螺旋波嵌合体。根据相对耦合半径和耦合相位，我们在数值上发现了螺旋波嵌合体。我们还发现了一种新的螺旋波模式--螺旋波振幅死亡嵌合体，其特点是有一个非兴奋核心。通过探索不同螺旋波嵌合体动力学的相图，我们发现当耦合相位跨越 π/2 时，具有非相干核心的螺旋波嵌合体与具有非激发核心的螺旋波振幅死亡嵌合体之间发生了过渡。我们还发现，大 a（FitzHugh-Nagumo 神经元中的参数）有利于螺旋波振幅死亡嵌合体。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.