Knotted scroll wave filaments in excitable media

DOI10.1016/0167-2789(89)90262-5zbMath0699.35145OpenAlexW1997604201MaRDI QIDQ913114

James P. Keener

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90262-5

zbMATH Keywords

asymptotic analysisbifurcation theorydiffusion-reaction equationsknotted scroll wave solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (8)

Helical and circular scroll wave filaments ⋮ Singular perturbation theory of traveling waves in excitable media (A review) ⋮ An integral invariant for scroll rings in a reaction-diffusion system ⋮ A cellular automaton model of excitable media. IV: Untwisted scroll rings ⋮ The dynamics of helical scroll waves in excitable media ⋮ The motion of organization center of scroll waves in excitable media with single diffusion ⋮ Three-dimensional reconstruction of organizing centers in excitable chemical media ⋮ Knotted vortex filaments in an ideal fluid

Cites Work

• Spiral waves in the Belousov-Zhabotinskii reaction
• A computational study of twisted linked scroll waves in excitable media
• The dynamics of three-dimensional scroll waves in excitable media
• Singular perturbation theory of traveling waves in excitable media (A review)
• Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension
• The Motion of Untwisted Untorted Scroll Waves in Belousov-Zhabotinsky Reagent
• A vortex filament moving without change of form
• Knotted vortex filaments in an ideal fluid
• Spiral Waves in Reaction-Diffusion Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Knotted scroll wave filaments in excitable media