Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling

Autor(es)

Vlasov, Vladimir ^[1] ; Komarov, Maxim ^{[2, 1]} ; Pikovsky, Arkady ^{[2, 1]}

Afiliação do(s) autor(es)

^[1] Univ Potsdam, Inst Phys & Astron, D-14476 Potsdam - Germany

^[2] Nizhnii Novgorod State Univ, Dept Control Theory, Nizhnii Novgorod 606950 - Russia

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 48, n. 10 MAR 13 2015.
• Citações Web of Science: 3

Resumo

We describe synchronization transitions in an ensemble of globally coupled phase oscillators with a bi-harmonic coupling function, and two sources of disorder-diversity of the intrinsic oscillators' frequencies, and external independent noise forces. Based on the self-consistent formulation, we derive analytic solutions for different synchronous states. We report on various non-trivial transitions from incoherence to synchrony, with the following possible scenarios: simple supercritical transition (similar to classical Kuramoto model); subcritical transition with large area of bistability of incoherent and synchronous solutions; appearance of a symmetric two-cluster solution which can coexist with the regular synchronous state. We show that the interplay between relatively small white noise and finite-size fluctuations can lead to metastability of the asynchronous solution. (AU)

• Processo FAPESP: 11/50151-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
• Beneficiário: Elbert Einstein Nehrer Macau
• Linha de fomento: Auxílio à Pesquisa - Temático