Chimera states on a flat torus
arXiv:1211.2021 · doi:10.1103/PhysRevLett.110.094102
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.
5 pages, 5 figures
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Cited by in corpus (32)
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