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Phys Rev Lett. 2004 Nov 26;93(22):224101. Epub 2004 Nov 22.

Synchronization by nonlinear frequency pulling.

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Department of Physics 114-36, California Institute of Technology, Pasadena, California 91125, USA.


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 oscillators. We study the model for the mean field case of all-to-all coupling, deriving results for the onset of synchronization as the coupling or nonlinearity increase, and the fully locked state when all the oscillators evolve with the same frequency.

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