Influence of the critical curvature on spiral initiation in an excitable medium
- 1 December 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (6) , 4646-4649
- https://doi.org/10.1103/physreve.50.4646
Abstract
Spiral waves are created in a Belousov-Zhabotinsky medium due to the presence of some inert obstacle placed into that medium. The eikonal equation, which is completely valid when the excitability of the system remains constant, is shown to be insufficient when media with different excitabilities are used, as predicted by Zykov’s kinematical theory [Biophys. 25, 906 (1980)], where two parameters, excitability and curvature, are varied.Keywords
This publication has 23 references indexed in Scilit:
- Mechanism of the electric-field-induced vortex drift in excitable mediaPhysical Review E, 1993
- A geometrical-kinematical approach to spiral wave formation: super-spiral wavesPhysica D: Nonlinear Phenomena, 1993
- Electric current control of spiral wave dynamicsPhysica D: Nonlinear Phenomena, 1992
- Electric-field-induced drift and deformation of spiral waves in an excitable mediumPhysical Review Letters, 1992
- Kinematical theory of spiral waves in excitable media: Comparison with numerical simulationsPhysica D: Nonlinear Phenomena, 1991
- A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODELInternational Journal of Bifurcation and Chaos, 1991
- Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotationPhysical Review A, 1990
- Interaction of rotating waves in an active chemical mediumPhysica D: Nonlinear Phenomena, 1983
- Spiral Waves in Reaction-Diffusion EquationsSIAM Journal on Applied Mathematics, 1982
- The discontinuous nature of propagation in normal canine cardiac muscle. Evidence for recurrent discontinuities of intracellular resistance that affect the membrane currents.Circulation Research, 1981