Boundary-induced drift of spirals in excitable media
- 1 October 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (4) , R2395-R2398
- https://doi.org/10.1103/physreve.50.r2395
Abstract
The motion of a spiral wave in an excitable medium due to interaction with a boundary is considered. The drift of the core and the frequency shift, evaluated analytically as a response to a small perturbation of the boundary, are found to be superexponentially weak. It is shown that for some range of parameters the spiral is unstable to small displacements away from the center of a circular domain.Keywords
This publication has 23 references indexed in Scilit:
- Periodic to quasiperiodic transition of chemical spiral rotationPhysica D: Nonlinear Phenomena, 1991
- Spatiotemporal concentration patterns in a surface reaction: Propagating and standing waves, rotating spirals, and turbulencePhysical Review Letters, 1990
- Spiral wave dynamics as a function of proton concentration in the ferroin-catalyzed Belousov-Zhabotinskii reactionThe Journal of Physical Chemistry, 1990
- Effect of diffusion on patterns in excitable Belousov-Zhabotinskii systemsPhysica D: Nonlinear Phenomena, 1989
- Singular perturbation theory of traveling waves in excitable media (a review)Physica D: Nonlinear Phenomena, 1988
- Chemical WavesScience, 1988
- Oscillatory oxidation of CO over Pt, Pd and Ir catalysts: TheorySurface Science, 1982
- Circus movement in rabbit atrial muscle as a mechanism of tachycardia. III. The "leading circle" concept: a new model of circus movement in cardiac tissue without the involvement of an anatomical obstacle.Circulation Research, 1977
- Circus movement in rabbit atrial muscle as a mechanism of tachycardia. II. The role of nonuniform recovery of excitability in the occurrence of unidirectional block, as studied with multiple microelectrodes.Circulation Research, 1976
- A quantitative description of membrane current and its application to conduction and excitation in nerveThe Journal of Physiology, 1952