Bifurcation structure of rotating wave solutions of the Fitzhugh-Nagumo equations

DOI10.1016/J.CNSNS.2009.01.011zbMath1221.35192OpenAlexW2081958029MaRDI QIDQ717959

John G. Alford

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.01.011

zbMATH Keywords

excitable mediarotating wavesbiological complexitybifurcation nonlinear dynamics

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Neural biology (92C20) Dynamical systems in biology (37N25) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (5)

Application of the \(G'/G\)-expansion method for nonlinear diffusion equations with nonlinear source ⋮ Harnack estimates for a nonlinear diffusion equation on compact Kähler manifolds ⋮ Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses ⋮ Rotating and standing waves in a diffractive nonlinear optical system with delayed feedback under \(O(2)\) Hopf bifurcation ⋮ Mixed-type discontinuous Galerkin approach for solving the generalized FitzHugh-Nagumo reaction-diffusion model

Cites Work

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• Single and Multiple Pulse Waves for the FitzHugh–Nagumo
• A Delay Equation Representation of Pulse Circulation on a Ring in Excitable Media

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