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Collective synchronization in the presence of reactive coupling and shear diversity

Abstract: We analyze the synchronization dynamics of a model obtained from the phase reduction of the mean-field complex Ginzburg-Landau equation with heterogeneity. We present exact results that uncover the role of dissipative and reactive couplings on the synchronization transition when shears and natural frequencies are independently distributed. As it occurs in the purely dissipative case, an excess of shear diversity prevents the onset of synchronization, but this does not hold true if coupling is purely reactive. In this case, the synchronization threshold turns out to depend on the mean of the shear distribution, but not on all the other distribution?s moments.

 Authorship: Montbrió E., Pazó D.,

 Fuente: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2011, 84, , 046206

 Publisher: American Physical Society

 Year of publication: 2011

 No. of pages: 4

 Publication type: Article

 DOI: 10.1103/PhysRevE.84.046206

 ISSN: 1539-3755,1550-2376,2470-0045,2470-0053

 Spanish project: FIS2009-12964-C05-05

 Publication Url: https://doi.org/10.1103/PhysRevE.84.046206

Authorship

MONTBRIÓ, ERNEST