Periodic sequence of stabilized wave segments in an excitable medium

Zykov, Vladimir S.; Bodenschatz, Eberhard

doi:10.1103/PhysRevE.97.030201

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Periodic sequence of stabilized wave segments 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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引用

Zykov, V. S., & Bodenschatz, E. (2018). Periodic sequence of stabilized wave segments in an excitable medium. Physical Review E, 97(3):. doi:10.1103/PhysRevE.97.030201.

引用: https://hdl.handle.net/21.11116/0000-0000-F51A-F

要旨

Numerical computations show that a stabilization of a periodic sequence of wave segments propagating through an excitable medium is possible only in a restricted domain within the parameter space. By application of a free boundary approach, we demonstrate that at the boundary of this domain the parameter H introduced in our Rapid Communication is constant. We show also that the discovered parameter predetermines the propagation velocity and the shape of the wave segments. The predictions of the free-boundary approach are in good quantitative agreement with results from numerical reaction-diffusion simulations performed on the modified FitzHugh-Nagumo model.