Solvable model of spiral wave chimeras.
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.
Martens
Erik A
EA
Max Planck Institute for Dynamics and Self-Organization, 37073 Göttingen, Germany.
Laing
Carlo R
CR
Strogatz
Steven H
SH