Eroğlu, DenizPeron, ThomasEroğlu, DenizRodrigues, Francisco A.Moreno, Yamir2021-07-242021-07-24202032643-15642643-1564https://hdl.handle.net/20.500.12469/4089Janus 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.eninfo:eu-repo/semantics/openAccessArticle12WOS:00060269440000510.1103/PhysRevResearch.2.0132552-s2.0-85091887382N/AQ1