Explosive transitions to synchronization in networked phase oscillators

Autor:	Leyva, I., Sendiña-Nadal, I., Almendral, J., Navas, A., Zanin, M., Papo, D., Buldú, J. M., Boccaletti, S.
Rok vydání:	2012
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Nonlinear Sciences - Chaotic Dynamics
Zdroj:	Sci Rep. 2013; 3: 1281
Druh dokumentu:	Working Paper
DOI:	10.1038/srep01281
Popis:	We introduce a condition for an ensemble of networked phase oscillators to feature an abrupt, first-order phase transition from an unsynchronized to a synchronized state. This condition is met in a very wide spectrum of situations, and for various oscillators' initial frequency distributions. We show that the occurrence of such transitions is always accompanied by the spontaneous emergence of frequency-degree correlations in random network architectures. We also discuss ways to relax the condition, and to further extend the possibility for the first-order transition to occur, and illustrate how to engineer magnetic-like states of synchronization. Our findings thus indicate how to search for abrupt transitions in real-world applications. Comment: (02Oct12) Submitted to Phys Rev Lett
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.0404 Zobrazit plný text záznamu View this record from Arxiv