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Explosive synchronization in weighted complex networks (Articolo in rivista)
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- Explosive synchronization in weighted complex networks (Articolo in rivista) (literal)
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- 2013-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1103/PhysRevE.88.042808 (literal)
- Alternative label
I. Leyva (1,2); I. Sendiña-Nadal (1,2); J.A. Almendral (1,2); A. Navas (2); S. Olmi (3,4); S. Boccaletti (3) (2013)
Explosive synchronization in weighted complex networks
in Physical review. E, Statistical, nonlinear, and soft matter physics (Print); APS, American physical society, College Park, MD (Stati Uniti d'America)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- I. Leyva (1,2); I. Sendiña-Nadal (1,2); J.A. Almendral (1,2); A. Navas (2); S. Olmi (3,4); S. Boccaletti (3) (literal)
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- (1) Complex Systems Group, Univ. Rey Juan Carlos, 28933 Móstoles, Madrid, Spain
(2) Center for Biomedical Technology, Univ. Politécnica de Madrid, 28223 Pozuelo de Alarcón, Madrid, Spain
(3) CNR-Institute of Complex Systems, Via Madonna del Piano, 10, 50019 Sesto Fiorentino, Florence, Italy
(4) INFN - Sezione di Firenze and CSDC, via Sansone 1, 50019 Sesto Fiorentino, Italy (literal)
- Titolo
- Explosive synchronization in weighted complex networks (literal)
- Abstract
- The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Given a set of phase oscillators networking with a generic wiring of connections and displaying a generic frequency distribution, we show how combining dynamical local information on frequency mismatches and global information on the graph topology suggests a judicious and yet practical weighting procedure which is able to induce and enhance explosive, irreversible, transitions to synchronization. We report extensive numerical and analytical evidence of the validity and scalability of such a procedure for different initial frequency distributions, for both homogeneous and heterogeneous networks, as well as for both linear and nonlinear weighting functions. We furthermore report on the possibility of parametrically controlling the width and extent of the hysteretic region of coexistence of the unsynchronized and synchronized states. (literal)
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