1.5k citations · 4k across the 30 of their papers we have counts for
5 papers · 1 filter
Phase chimera states: frozen patterns of disorder
Emma R. Zajdela, Daniel M. Abrams
Coupled oscillators can serve as a testbed for larger questions of pattern formation across many areas of science and engineering. Much effort has been dedicated to the Kuramoto mo…
Chimera states on the surface of a sphere
Mark J. Panaggio, Daniel M. Abrams
A chimera state is a spatiotemporal pattern in which a network of identical coupled oscillators exhibits coexisting regions of asynchronous and synchronous oscillation. Two distinc…
Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
Mark J. Panaggio, Daniel M. Abrams
A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in which synchronous and asynchronous oscillation coexist. This state of broken symmetry,…
Chimera states on a flat torus
Mark J. Panaggio, Daniel M. Abrams
Discovered numerically by Kuramoto and Battogtokh in 2002, chimera states are spatiotemporal patterns in which regions of coherence and incoherence coexist. These mathematical oddi…
Solvable model for chimera states of coupled oscillators
Daniel M. Abrams, Renato E. Mirollo, Steven H. Strogatz +1
Networks of identical, symmetrically coupled oscillators can spontaneously split into synchronized and desynchronized sub-populations. Such chimera states were discovered in 2002,…