000099241 001__ 99241 000099241 005__ 20230622083318.0 000099241 0247_ $$2doi$$a10.1103/PhysRevResearch.2.013255 000099241 0248_ $$2sideral$$a122430 000099241 037__ $$aART-2020-122430 000099241 041__ $$aeng 000099241 100__ $$aPeron, T. 000099241 245__ $$aCollective dynamics of random Janus oscillator networks 000099241 260__ $$c2020 000099241 5060_ $$aAccess copy available to the general public$$fUnrestricted 000099241 5203_ $$aJanus 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. 000099241 536__ $$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/FIS2017-87519-P$$9info:eu-repo/grantAgreement/ES/DGA/E36-17R-FENOL 000099241 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000099241 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000099241 700__ $$aEroglu, D. 000099241 700__ $$aRodrigues, F.A. 000099241 700__ $$0(orcid)0000-0002-0895-1893$$aMoreno, Y.$$uUniversidad de Zaragoza 000099241 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000099241 773__ $$g2, 1 (2020), 013255 [9 pp]$$pPhys. rev. res.$$tPhysical Review Research$$x2643-1564 000099241 8564_ $$s559201$$uhttps://zaguan.unizar.es/record/99241/files/texto_completo.pdf$$yVersión publicada 000099241 8564_ $$s3004343$$uhttps://zaguan.unizar.es/record/99241/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000099241 909CO $$ooai:zaguan.unizar.es:99241$$particulos$$pdriver 000099241 951__ $$a2023-06-21-15:02:30 000099241 980__ $$aARTICLE