Bifurcations and singularities for coupled oscillators with inertia and frustration - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Physical Review Letters Year : 2016

Bifurcations and singularities for coupled oscillators with inertia and frustration

Abstract

We prove that any non zero inertia, however small, is able to change the nature of the synchronization transition in Kuramoto-like models, either from continuous to discontinuous, or from discontinuous to continuous. This result is obtained through an unstable manifold expansion in the spirit of J.D. Crawford, which features singularities in the vicinity of the bifurcation. Far from being unwanted artifacts, these singularities actually control the qualitative behavior of the system. Our numerical tests fully support this picture.
Fichier principal
Vignette du fichier
Article_full.pdf (344.91 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01336162 , version 1 (22-06-2016)

Identifiers

Cite

Julien Barre, D. Métivier. Bifurcations and singularities for coupled oscillators with inertia and frustration. Physical Review Letters, 2016, 117 (21), pp.214102. ⟨10.1103/PhysRevLett.117.214102⟩. ⟨hal-01336162⟩
213 View
147 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More