Collective dynamics of random Janus oscillator networks

Author(s)

Peron, Thomas ^{[1, 2]} ; Eroglu, Deniz ^[3] ; Rodrigues, Francisco A. ^[1] ; Moreno, Yamir ^{[2, 4, 5]}

Affiliation

^[1] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Zaragoza, Inst Biocomputat & Phys Complex Syst BIFI, Zaragoza 50018 - Spain

^[3] Kadir Has Univ, Dept Bioinformat & Genet, TR-34083 Istanbul - Turkey

^[4] ISI Fdn, I-10126 Turin - Italy

^[5] Univ Zaragoza, Dept Theoret Phys, Zaragoza 50009 - Spain

• Document type: Journal article
• Source: PHYSICAL REVIEW RESEARCH; v. 2, n. 1 MAR 4 2020.
• Web of Science Citations: 0

Abstract

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. (AU)

• FAPESP's process: 16/25682-5 - Information spreading in complex networks
• Grantee: Francisco Aparecido Rodrigues
• Support Opportunities: Regular Research Grants
• FAPESP's process: 16/23827-6 - Analysis of epidemic and synchronization processes in complex networks
• Grantee: Thomas Kaue Dal Maso Peron
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 18/15589-3 - Dynamical Processes on Ecological Networks
• Grantee: Thomas Kaue Dal Maso Peron
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
• Grantee: Francisco Louzada Neto
• Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC