The spectrum and stability of travelling pulses in a coupled FitzHugh-Nagumo equation

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外文摘要：For a coupled slow-fast FitzHugh-Nagumo(FHN)equation derived from a reaction-diffusion-mechanics(RDM)model,Holzer et al.(2013)studied the existence and stability of the travelling pulse,which consists of two fast orbit arcs and two slow ones,where one fast segment passes the unique fold point with algebraic decreasing and two slow ones follow normally hyperbolic critical curve segments.Shen and Zhang(2021)obtained the existence of the travelling pulse,whose two fast orbit arcs both exponentially decrease,and one of the slow orbit arcs could be normally hyperbolic or not at the origin.Here,we characterize both the nonlinear and spectral stability of this travelling pulse.

外文关键词：

coupled FitzHugh-Nagumo equationsingular perturbationtravelling pulsespectrumnonlinear stabilityspectral stability

作者：

Qi Qiao、Xiang Zhang

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作者单位：

School of Mathematical Sciences,Shanghai Jiaotong University,Shanghai 200240,China

School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China

Key Laboratory of Scientific and Engineering Computing(Ministry of Education),and Shanghai Frontier Science Center of Modern Analysis(CMA-Shanghai),Shanghai Jiao Tong University,Shanghai 200240,China

基金：

National Key R&D Program of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaInnovation Program of Shanghai Municipal Education Commission

项目编号：

2022YFA10059001207128412161131001118713342021-01-07-00-02-E00087

出版年：

2024

DOI：

10.1007/s11425-022-2112-4

中国科学:数学(英文版)

中国科学院

中国科学:数学(英文版)

CSTPCD

影响因子：0.36

ISSN：1674-7283

年,卷(期)：2024.67(5)