title: Continuous transition between two limits of spiral wave dynamics in an excitable medium.
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.
authors.affiliation: Max Planck Institute for Dynamics and Self-Organization, D-37077 Goettingen, Germany.
authors.forename: V S
authors.initials: VS
authors.lastname: Zykov
authors.affiliation: Max Planck Institute for Dynamics and Self-Organization, D-37077 Goettingen, Germany.
authors.forename: E
authors.initials: E
authors.lastname: Bodenschatz
mesh_terms: D004058:Diffusion; D008954:Models, Biological; D008956:Models, Chemical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D044367:Phase Transition