Synchronization patterns in transient spiral wave dynamics

Ulrich Parlitz, Alexander Schlemmer, and Stefan Luther
Phys. Rev. E 83, 057201 – Published 20 May 2011

Abstract

Transient dynamics of spiral waves in a two-dimensional Barkley model is shown to be governed by pattern formation processes resulting in regions of synchronized activity separated by moving interfaces. During the transient the number of internally synchronized regions decreases as synchronization fronts move to the boundary of the simulated area. This spatiotemporal transient dynamics in an excitable medium is detected and visualized by means of an analysis of the local periodicity and by evaluation of prediction errors across the spatial domain. During the (long) transient both analyses show patterns that must not be misinterpreted as any information about (spatial) structure of the underlying (completely homogeneous) system.

    • Received 17 February 2011

    DOI:https://doi.org/10.1103/PhysRevE.83.057201

    ©2011 American Physical Society

    Authors & Affiliations

    Ulrich Parlitz, Alexander Schlemmer, and Stefan Luther

    • Max Planck Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, 37077 Göttingen, Germany and Institute for Nonlinear Dynamics, Georg-August-Universität Göttingen, Am Fassberg 17, 37077 Göttingen, Germany

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    Issue

    Vol. 83, Iss. 5 — May 2011

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