Phys. Rev. Lett. 104, 044101 (2010) [4 pages]Solvable Model of Spiral Wave ChimerasReceived 27 October 2009; published 29 January 2010 Spiral waves are ubiquitous in two-dimensional systems of chemical or biological oscillators coupled locally by diffusion. At the center of such spirals is a phase singularity, a topological defect where the oscillator amplitude drops to zero. But if the coupling is nonlocal, a new kind of spiral can occur, with a circular core consisting of desynchronized oscillators running at full amplitude. Here, we provide the first analytical description of such a spiral wave chimera and use perturbation theory to calculate its rotation speed and the size of its incoherent core. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.104.044101
DOI:
10.1103/PhysRevLett.104.044101
PACS:
05.45.Xt, 05.65.+b
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