Multiple front standing waves in the FitzHugh-Nagumo equations

DOI10.1016/j.jde.2021.08.005zbMath1490.34050arXiv1804.01727OpenAlexW3202619878MaRDI QIDQ2232205

Chao-Nien Chen, Éric Séré

Publication date: 4 October 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01727

zbMATH Keywords

stabilityLyapunov-Schmidt reductionHamiltonian systemFitzHugh-Nagumo equationsstanding wavemultibump solution

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Reaction-diffusion equations (35K57) Variational methods for elliptic systems (35J50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Existence of solution for a class of activator–inhibitor systems ⋮ Front propagation in both directions and coexistence of traveling fronts and pulses ⋮ Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model

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