Collective synchronization in the presence of reactive coupling and shear diversity

Details Collective synchronization in the presence of reactive coupling and shear diversity Collective synchronization in the presence of reactive coupling and shear diversity

2011-09-22

arxiv.org/abs/1109.4773v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

To appear in Phys. Rev. E

Scientific paper

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.

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