137 citations · 256 across the 5 of their papers we have counts for
5 papers
Vortices and the entrainment transition in the 2D Kuramoto model
Tony E. Lee, Heywood Tam, G. Refael +2
We study synchronization in the two-dimensional lattice of coupled phase oscillators with random intrinsic frequencies. When the coupling is larger than a threshold , ther…
Universality in the one-dimensional chain of phase-coupled oscillators
Tony E. Lee, G. Refael, M. C. Cross +2
We apply a recently developed renormalization group (RG) method to study synchronization in a one-dimensional chain of phase-coupled oscillators in the regime of weak randomness. T…
Renormalization Group Approach to Oscillator Synchronization
Oleg Kogan, Jeffrey L. Rogers, M. C. Cross +1
We develop a renormalization group method to investigate synchronization clusters in a one-dimensional chain of nearest-neighbor coupled phase oscillators. The method is best suite…
Synchronization by Reactive Coupling and Nonlinear Frequency Pulling
M. C. Cross, J. L. Rogers, Ron Lifshitz +1
We present a detailed analysis of a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling. We study the model for the mean…
Synchronization by Nonlinear Frequency Pulling
M. C. Cross, A. Zumdieck, Ron Lifshitz +1
We analyze a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling motivated by the physics of arrays of nanoscale oscilla…