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Synchronization by reactive coupling and nonlinear frequency pulling

Cross, M. C. and Rogers, J. L. and Lifshitz, Ron and Zumdieck, A. (2006) Synchronization by reactive coupling and nonlinear frequency pulling. Physical Review E, 73 (3). Art. No. 036205. ISSN 1539-3755. https://resolver.caltech.edu/CaltechAUTHORS:CROpre06

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Abstract

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.


Item Type:Article
Additional Information:©2006 The American Physical Society (Received 3 October 2005; published 6 March 2006) This paper is based upon work supported by the National Science Foundation under Grant No. DMR-0314069, HRL Laboratories, LLC under Contract No. SR04209, the U.S.-Israel Binational Science Foundation Grant No. 2004339, and the PHYSBIO program with funds from the European Union and NATO.
Subject Keywords:nonlinear dynamical systems; synchronisation; oscillators; phase diagrams; numerical analysis
Issue or Number:3
Record Number:CaltechAUTHORS:CROpre06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:CROpre06
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.73.036205
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2670
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:15 Apr 2006
Last Modified:02 Oct 2019 22:55

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