Spiral wave drift in an electric field and scroll wave instabilities
arXiv:cond-mat/0401588 · doi:10.1103/PhysRevE.70.026204
Abstract
I present the numerical computation of speed and direction of the drift of a spiral wave in an excitable medium in the presence of an electric field. In contrast to earlier results, the drift speed presents a strong variation close to the parameter value where the drift speed component along the field changes direction. Using a simple phenomenological model and results from a numerical linear stability analysis of scroll waves, I show this behavior can be attributed to a resonance of the meander modes with the translation modes of the spiral wave. Extending this phenomenological model to scroll waves also clarifies the link between the drift and long wavelength instabilities of scroll waves.
Phys Rev E accepted
References in corpus (5)
- Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity
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- Scroll waves in isotropic excitable media : linear instabilities, bifurcations and restabilized states
- Linear Stability of Scroll Waves
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Cited by in corpus (8)
- Computation of the response functions of spiral waves in active media
- Drift Laws for Spiral Waves on Curved Anisotropic Surfaces
- Anomalous drift of spiral waves in heterogeneous excitable media
- Riding a Spiral Wave: Numerical Simulation of Spiral Waves in a Co-Moving Frame of Reference
- Alternative Stable Scroll Waves and Conversion of Autowave Turbulence
- Effective dynamics of twisted and curved scroll waves using virtual filaments
- A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves
- Subcritical Hopf Bifurcations in the FitzHugh-Nagumo Model