TY - JOUR
T1 - Synchronization by reactive coupling and nonlinear frequency pulling
AU - Cross, M. C.
AU - Rogers, J. L.
AU - Lifshitz, Ron
AU - Zumdieck, A.
PY - 2006
Y1 - 2006
N2 - 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 field case of all-to-all coupling, deriving results for the initial onset of synchronization as the coupling or nonlinearity increase, and conditions for the existence of the completely synchronized state when all the oscillators evolve with the same frequency. Explicit results are derived for the Lorentzian, triangular, and top-hat distributions of oscillator frequencies. Numerical simulations are used to construct complete phase diagrams for these distributions.
AB - 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 field case of all-to-all coupling, deriving results for the initial onset of synchronization as the coupling or nonlinearity increase, and conditions for the existence of the completely synchronized state when all the oscillators evolve with the same frequency. Explicit results are derived for the Lorentzian, triangular, and top-hat distributions of oscillator frequencies. Numerical simulations are used to construct complete phase diagrams for these distributions.
UR - http://www.scopus.com/inward/record.url?scp=33644779916&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.73.036205
DO - 10.1103/PhysRevE.73.036205
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C2 - 16605629
AN - SCOPUS:33644779916
SN - 1539-3755
VL - 73
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 036205
ER -