Collective dynamics of random Janus oscillator networks

Peron, T. ; Eroglu, D. ; Rodrigues, F.A. ; Moreno, Y. (Universidad de Zaragoza)

Resumen: Janus oscillators have been recently introduced as a remarkably simple phase oscillator model that exhibits nontrivial dynamical patterns-such as chimeras, explosive transitions, and asymmetry-induced synchronization-that were once observed only in specifically tailored models. Here we study ensembles of Janus oscillators coupled on large homogeneous and heterogeneous networks. By virtue of the Ott-Antonsen reduction scheme, we find that the rich dynamics of Janus oscillators persists in the thermodynamic limit of random regular, Erdos-Renyi, and scale-free random networks. We uncover for all these networks the coexistence between partially synchronized states and a multitude of solutions of a collective state we denominate as a breathing standing wave, which displays global oscillations. Furthermore, abrupt transitions of the global and local order parameters are observed for all topologies considered. Interestingly, only for scale-free networks, it is found that states displaying global oscillations vanish in the thermodynamic limit.

Idioma: Inglés

DOI: 10.1103/PhysRevResearch.2.013255

Año: 2020

Publicado en: Physical Review Research 2, 1 (2020), 013255 [9 pp]
ISSN: 2643-1564

Financiación: info:eu-repo/grantAgreement/ES/DGA/E36-17R-FENOL
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/FIS2017-87519-P

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)