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arXiv · 1211.2021

Chimera states on a flat torus

Mark J. Panaggio·Daniel M. Abrams
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Abstract

Discovered numerically by Kuramoto and Battogtokh in 2002, chimera states are spatiotemporal patterns in which regions of coherence and incoherence coexist. These mathematical oddities were recently reproduced in a laboratory setting sparking a flurry of interest in their properties. Here we use asymptotic methods to derive the conditions under which two-dimensional chimeras, similar to those observed in the experiments, can appear in a periodic space. We also use numerical integration to explore the dynamics of these chimeras and determine which are dynamically stable.

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Mark J. Panaggio, Daniel M. Abrams. 2012-11-09. Chimera states on a flat torus. https://doi.org/10.1103/physrevlett.110.094102

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