Landau damping effects in the synchronization of conformist and contrarian oscillators.

Abstract:

:Two decades ago, a phenomenon resembling Landau damping was described in the synchronization of globally coupled oscillators: the evidence of a regime where the order parameter decays when linear theory predicts neutral stability for the incoherent state. We here show that such an effect is far more generic, as soon as phase oscillators couple to their mean field according to their natural frequencies, being then grouped into two distinct populations of conformists and contrarians. We report the analytical solution of this latter situation, which allows determining the critical coupling strength and the stability of the incoherent state, together with extensive numerical simulations that fully support all theoretical predictions. The relevance of our results is discussed in relationship to collective phenomena occurring in social and economical systems.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Qiu T,Zhang Y,Liu J,Bi H,Boccaletti S,Liu Z,Guan S

doi

10.1038/srep18235

subject

Has Abstract

pub_date

2015-12-14 00:00:00

pages

18235

issn

2045-2322

pii

srep18235

journal_volume

5

pub_type

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