Peron,T.Eroglu,D.Rodrigues,F.A.Moreno,Y.2024-10-152024-10-15202062643-1564https://doi.org/10.1103/PhysRevResearch.2.013255https://hdl.handle.net/20.500.12469/6519Janus 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-Rényi, 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. © 2020 authors. Published by the American Physical Society.eninfo:eu-repo/semantics/openAccess[No Keyword Available]Article1210.1103/PhysRevResearch.2.0132552-s2.0-85091887382Q1