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Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Mar;73(3 Pt 2):036205. Epub 2006 Mar 6.

Synchronization by reactive coupling and nonlinear frequency pulling.

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


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.


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