Solvable Model of Spiral Wave Chimeras

Details Solvable Model of Spiral Wave Chimeras Solvable Model of Spiral Wave Chimeras

2009-10-28

arxiv.org/abs/0910.5389v2

Phys. Rev. E 79, 026204 (2009)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 4 figures; added reference, figure, further numerical tests

Scientific paper

10.1103/PhysRevLett.104.044101

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.

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