Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system

DOI10.1063/1.4999472zbMath1394.35024arXiv1703.08678OpenAlexW3104321953WikidataQ47615629 ScholiaQ47615629MaRDI QIDQ4644292

Burhan Bezekci, V. N. Biktashev

Publication date: 30 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08678

zbMATH Keywords

separation of time scalesinitiation of excitation waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Population dynamics (general) (92D25) Semilinear parabolic equations (35K58)

Related Items (2)

Qualitative analysis of certain reaction-diffusion systems of the FitzHugh-Nagumo type ⋮ Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system

Cites Work

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• Perturbation analysis of an approximation to the Hodgkin-Huxley theory
• Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system
• Single and Multiple Pulse Waves for the FitzHugh–Nagumo
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