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Basins of Attraction for Chimera States
Erik A. Martens, Mark J. Panaggio, Daniel M. Abrams
Chimera states---curious symmetry-broken states in systems of identical coupled oscillators---typically occur only for certain initial conditions. Here we analyze their basins of a…
Solvable Model of Spiral Wave Chimeras
Erik A. Martens, Carlo R. Laing, Steven H. Strogatz
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 t…
Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
E. A. Martens, E. Barreto, S. H. Strogatz +3
We analyze a large system of globally coupled phase oscillators whose natural frequencies are bimodally distributed. The dynamics of this system has been the subject of long-standi…