3.7k citations · 14.1k across the 66 of their papers we have counts for
7 papers · 1 filter
Self-organization in soliton modelocked parametric frequency combs
Y. Henry Wen, Michael R. E. Lamont, Isabel M. Kloumann +2
We show that self-organization occurs in the phase dynamics of soliton modelocking in paramet- ric frequency combs. Reduction of the Lugiato-Lefever equation (LLE) to a simpler set…
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…
Stability diagram for the forced Kuramoto model
Lauren M. Childs, Steven H. Strogatz
We analyze the periodically forced Kuramoto model. This system consists of an infinite population of phase oscillators with random intrinsic frequencies, global sinusoidal coupling…
The Spectrum of the Partially Locked State for the Kuramoto Model
Renato Mirollo, Steven H. Strogatz
We solve a longstanding stability problem for the Kuramoto model of coupled oscillators. This system has attracted mathematical attention, in part because of its applications in fi…
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…