doi:10.1103/PhysRevResearch.2.013255engPeron, T.Eroglu, D.Rodrigues, F.A.Moreno, Y.Collective dynamics of random Janus oscillator networksART-2020-122430Janus 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.2020http://zaguan.unizar.es/record/9924110.1103/PhysRevResearch.2.013255http://zaguan.unizar.es/record/99241oai:zaguan.unizar.es:99241info:eu-repo/grantAgreement/ES/DGA/E36-17R-FENOLinfo:eu-repo/grantAgreement/ES/MINECO-FEDER/FIS2017-87519-PPhysical Review Research 2, 1 (2020), 013255 [9 pp]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess