Bifurcating solutions to the monodomain model equipped with FitzHugh-Nagumo kinetics

DOI10.1155/2009/292183zbMath1194.35044DBLPjournals/jam/Artebrant09OpenAlexW2139027229WikidataQ58648638 ScholiaQ58648638MaRDI QIDQ964026

Robert Artebrant

Publication date: 14 April 2010

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229519

zbMATH Keywords

bifurcationHopf bifurcationreaction-diffusion systemasymptoticPDE-ODE systemelectrocardiologyof periodicital solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Semilinear parabolic equations (35K58)

Cites Work

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• A method for analyzing the stability of the resting state for a model of pacemaker cells surrounded by stable cells
• A Method for Solving Algebraic Equations Using an Automatic Computer
• Hopf Bifurcation to Repetitive Activity in Nerve
• Computing the Electrical Activity in the Heart

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