On propagation failure in one- and two-dimensional excitable media

DOI10.1063/1.1772552zbMath1080.92502arXivnlin/0408026OpenAlexW3100443777WikidataQ45077542 ScholiaQ45077542MaRDI QIDQ5705443

Lorenz Kramer, Georg A. Gottwald

Publication date: 8 November 2005

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

Full work available at URL: https://arxiv.org/abs/nlin/0408026

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) General biology and biomathematics (92B05)

Related Items (8)

Model reduction for networks of coupled oscillators ⋮ Phase Reduction of Waves, Patterns, and Oscillations Subject to Spatially Extended Noise ⋮ A normal form for excitable media ⋮ Finite-size effects in a stochastic Kuramoto model ⋮ Bifurcation analysis of a normal form for excitable media: Are stable dynamical alternans on a ring possible? ⋮ A bistable reaction-diffusion system in a stretching flow ⋮ On bifurcations in a chaotically stirred excitable medium ⋮ Effects of manifold correction methods on chaos indicators

Cites Work

• Singular perturbation theory of traveling waves in excitable media (A review)
• Complex dynamics of spiral waves and motion of curves
• Drift bifurcations of relative equilibria and transitions of spiral waves
• A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL
• A dynamical systems approach to spiral wave dynamics
• The growth of crystals and the equilibrium structure of their surfaces

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