Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 238, Issue 11-12, Pages 931-940Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2008.06.009
Keywords
Excitable medium; Spiral wave; Free-boundary approach; Reaction-diffusion model
Categories
Funding
- Deutsche Forschungsgemeinschaft (DFG) [SFB 555]
Ask authors/readers for more resources
Spiral waves rigidly rotating in excitable media are studied by use of a free-boundary approach. This study reveals the selection principle which determines the shape and the rotation frequency of spiral waves in an unbounded medium with a given excitability. It is shown that a rigidly rotating spiral in a medium with a strongly reduced refractoriness is supported within a range of the medium excitability restricted by two universal limits. At the low excitability limit the spiral core radius diverges, while at the high excitability limit it vanishes. The simulations performed for the medium excitability higher than the high excitability limit reveal nonstationary rotating waves, which considerably differ from well-studied meandering spiral waves. it is shown how the proposed free-boundary approach can be extended to the case of an arbitrary refractoriness. The predictions of the free-boundary approach are in good agreement with the results from numerical Simulations of the underlying reaction-diffusion model and with asymptotics derived earlier for highly and weakly excitable media. (C) 2008 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available