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Journal Article

Continous Transition between Two Limits of Spiral Wave Dynamics in an Excitable Medium

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Zykov,  Vladimir S.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Bodenschatz,  Eberhard       
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Zykov, V. S., & Bodenschatz, E. (2014). Continous Transition between Two Limits of Spiral Wave Dynamics in an Excitable Medium. Physical Review Letters, 112(5), 054101-1-054101-5. doi:10.1103/PhysRevLett.112.054101.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0F6B-6
Abstract
By application of a free-boundary approach, we prove the existence of a continuous transition and a full spectrum of solutions between the two known limits of spiral wave dynamics. We identify a control parameter whose essential importance was not realized in earlier studies of spatiotemporal pattern selection in excitable media. The predictions of the free-boundary approach are in good quantitative agreement with results from numerical reaction-diffusion simulations performed on the modified Barkley model.