Forced Entrainment and Elimination of Spiral Waves for the FitzHugh-Nagumo Equation

DOI10.1143/PTP.108.241zbMath1036.37033OpenAlexW2026011981MaRDI QIDQ4450024

Takefumi Fujimoto, Hidetsugu Sakaguchi

Publication date: 15 February 2004

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/ptp.108.241

zbMATH Keywords

controlchaotic dynamicspattern formationperturbationsexcitable medianumerical simulationsrotating wavescardiac arrhythmiaspatially extended systemsmedical treatments

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Neural biology (92C20) Dynamical systems in biology (37N25) Approximation methods and numerical treatment of dynamical systems (37M99) Second-order parabolic systems (35K40)

Related Items (4)

External localized harmonic influence on an incoherence cluster of chimera states ⋮ Rotating wave solutions of the FitzHugh-Nagumo equations ⋮ Variety of spatio-temporal regimes in a 2D lattice of coupled bistable FitzHugh-Nagumo oscillators. Formation mechanisms of spiral and double-well chimeras ⋮ The nonlinear analysis of perturbation solution for a parabolic differential system

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