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Connecting the Kuramoto Model and the Chimera State
Tejas Kotwal, Xin Jiang, Daniel M. Abrams
Since its discovery in 2002, the chimera state has frequently been described as a counter-intuitive, puzzling phenomenon. The Kuramoto model, in contrast, has become a celebrated p…
Chimera states in networks of phase oscillators: the case of two small populations
Mark J. Panaggio, Daniel M. Abrams, Peter Ashwin +1
Chimera states are dynamical patterns in networks of coupled oscillators in which regions of synchronous and asynchronous oscillation coexist. Although these states are typically o…
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…
Chimera States in a Ring of Nonlocally Coupled Oscillators
Daniel M. Abrams, Steven H. Strogatz
Arrays of identical limit-cycle oscillators have been used to model a wide variety of pattern-forming systems, such as neural networks, convecting fluids, laser arrays, and coupled…
Chimera States for Coupled Oscillators
Daniel M. Abrams, Steven H. Strogatz
Arrays of identical oscillators can display a remarkable spatiotemporal pattern in which phase-locked oscillators coexist with drifting ones. Discovered two years ago, such "chimer…