On the movement of excitation wave breaks

DOI10.1016/S0960-0779(97)00111-2zbMath0939.92001WikidataQ57945045 ScholiaQ57945045MaRDI QIDQ1809640

Yu. E. Elkin, Arun V. Holden, V. N. Biktashev

Publication date: 9 July 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

propagating excitationrotating spiral wave

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) General biology and biomathematics (92B05)

Related Items (9)

Spatio-temporal patterns in two-dimensional excitable media subject to Robin boundary conditions ⋮ Robustness of spiral waves in two-dimensional reactive-diffusive media. ⋮ A SIMPLIFIED MODEL OF PROPAGATION AND DISSIPATION OF EXCITATION FRONTS ⋮ ON BIFURCATIONS OF SPIRAL WAVES IN THE PLANE ⋮ Classification of steady solutions of the full kinematic model ⋮ Convection-induced anisotropy in excitable media subject to solenoidal advective flow fields. ⋮ Tile patterns in excitable media subject to non-solenoidal flow fields ⋮ Computational biology of propagation in excitable media models of cardiac tissue ⋮ Waves of constant shape and the structure of the ``rotors boundary in excitable media

Cites Work

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• Singular perturbation theory of traveling waves in excitable media (A review)
• Dynamics of rotating vortices in the Beeler-Reuter model of cardiac tissue
• Complex dynamics of spiral waves and motion of curves
• Instability and Turbulence of Wavefronts in Reaction-Diffusion Systems
• On Flame Propagation Under Conditions of Stoichiometry
• Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media

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