期刊
PHYSICAL REVIEW E
卷 92, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.92.020901
关键词
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资金
- Alexander von Humboldt Foundation
- NIH [R01 DC012943]
- ONR [N000141310672]
- Russian Science Foundation [14-12-00811]
- COSMOS ITN (EU Horizon research and innovation program under Maria-Sklodowska-Curie grant) [642563]
- Russian Ministry of Education and Science [02..49.21.0003]
- Lobachevsky State University of Nizhni Novgorod [02..49.21.0003]
- Russian Science Foundation [14-12-00811] Funding Source: Russian Science Foundation
We report on finite-sized-induced transitions to synchrony in a population of phase oscillators coupled via a nonlinear mean field, which microscopically is equivalent to a hypernetwork organization of interactions. Using a self-consistent approach and direct numerical simulations, we argue that a transition to synchrony occurs only for finite-size ensembles and disappears in the thermodynamic limit. For all considered setups, which include purely deterministic oscillators with or without heterogeneity in natural oscillatory frequencies, and an ensemble of noise-driven identical oscillators, we establish scaling relations describing the order parameter as a function of the coupling constant and the system size.
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