期刊
SCIENTIFIC REPORTS
卷 3, 期 -, 页码 -出版社
NATURE PUBLISHING GROUP
DOI: 10.1038/srep01281
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资金
- Ministerio de Educacion y Ciencia, Spain [FIS2009-07072]
- BBVA-Foundation within the Isaac-Peral program of Chairs
- R&D Program MODELICO-CM [S2009ESP-1691]
The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. The occurrence of a first-order phase transition to synchronization of an ensemble of networked phase oscillators was reported, so far, for very particular network architectures. Here, we show how a sharp, discontinuous transition can occur, instead, as a generic feature of networks of phase oscillators. Precisely, we set conditions for the transition from unsynchronized to synchronized states to be first-order, and demonstrate how these conditions can be attained in a very wide spectrum of situations. We then show how the occurrence of such transitions is always accompanied by the spontaneous setting of frequency-degree correlation features. Third, we show that the conditions for abrupt transitions can be even softened in several cases. Finally, we discuss, as a possible application, the use of this phenomenon to express magnetic-like states of synchronization.
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