LOCALIZATION OF RESPONSE FUNCTIONS OF SPIRAL WAVES IN THE FITZHUGH–NAGUMO SYSTEM

DOI10.1142/S0218127406015490zbMath1145.35399arXivnlin/0504003MaRDI QIDQ3498657

I. V. Biktasheva, Arun V. Holden, V. N. Biktashev

Publication date: 16 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0504003

zbMATH Keywords

response functionsdriftslightly inhomogeneoussmall periodic external forcetwo-dimensional autowave media

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Neural biology (92C20) Dynamical systems in biology (37N25)

Related Items (7)

Identification of the FitzHugh–Nagumo Model Dynamics via Deterministic Learning ⋮ Spectral analysis of localized rotating waves in parabolic systems ⋮ Spiral Waves: Linear and Nonlinear Theory ⋮ Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation ⋮ Approximated Spiral and Target Patterns in Bazykin’s Prey–Predator Model: Multiscale Perturbation Analysis ⋮ A theory for spiral wave drift in reaction-diffusion-mechanics systems ⋮ Spatial localization for nonlinear dynamical stochastic models for excitable media

Cites Work

• The dynamics of three-dimensional scroll waves in excitable media
• Resonant drift of autowave vortices in two dimensions and the effects of boundaries and inhomogeneities
• Response Functions of Spiral Wave Solutions of the Complex GinzburgLandau Equation
• Scroll waves in isotropic excitable media: Linear instabilities, bifurcations, and restabilized states
• SPIRAL WAVE MEANDER AND SYMMETRY OF THE PLANE
• Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media

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