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  Periodic sequence of stabilized wave segments in an excitable medium

Zykov, V. S., & Bodenschatz, E. (2018). Periodic sequence of stabilized wave segments in an excitable medium. Physical Review E, 97(3): 030201. doi:10.1103/PhysRevE.97.030201.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-F51A-F Version Permalink: http://hdl.handle.net/21.11116/0000-0000-F51B-E
Genre: Journal Article

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 Creators:
Zykov, Vladimir S.1, Author              
Bodenschatz, Eberhard1, Author              
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2018-03-092018-03
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevE.97.030201
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Title: Physical Review E
Source Genre: Journal
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Pages: 5 Volume / Issue: 97 (3) Sequence Number: 030201 Start / End Page: - Identifier: -