Transient scaling and resurgence of chimera states in networks of Boolean phase oscillators

David P. Rosin Damien Rontani 1 Nicholas D. Haynes Eckehard Schöll Daniel J. Gauthier 2
1 LMOPS - Laboratoire Matériaux Optiques, Photonique et Systèmes
2 PROMES - Procédés, Matériaux et Energie Solaire
Abstract : We study networks of nonlocally coupled electronic oscillators that can be described approximately by a Kuramoto-like model. The experimental networks show long complex transients from random initial conditions on the route to network synchronization. The transients display complex behaviors, including resurgence of chimera states, which are network dynamics where order and disorder coexists. The spatial domain of the chimera state moves around the network and alternates with desynchronized dynamics. The fast time scale of our oscillators (on the order of 100ns) allows us to study the scaling of the transient time of large networks of more than a hundred nodes, which has not yet been confirmed previously in an experiment and could potentially be important in many natural networks. We find that the average transient time increases exponentially with the network size and can be modeled as a Poisson process in experiment and simulation. This exponential scaling is a result of a synchronization rate that follows a power law of the phase-space volume.
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Physical Review Online Archive (PROLA), American Physical Society, 2014, 90 (3), pp.030902-1-5. 〈10.1103/PhysRevE.90.030902〉
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https://hal-supelec.archives-ouvertes.fr/hal-01109637
Contributeur : Sébastien Van Luchene <>
Soumis le : lundi 26 janvier 2015 - 16:31:56
Dernière modification le : jeudi 5 avril 2018 - 12:30:21

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SUPELEC | SUP_OPTEL | UNIV-PERP | UNIV-LORRAINE | PROMES | SUP_LMOPS | UNIV-PARIS-SACLAY | LMOPS-PHOTONIQUE

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David P. Rosin, Damien Rontani, Nicholas D. Haynes, Eckehard Schöll, Daniel J. Gauthier. Transient scaling and resurgence of chimera states in networks of Boolean phase oscillators. Physical Review Online Archive (PROLA), American Physical Society, 2014, 90 (3), pp.030902-1-5. 〈10.1103/PhysRevE.90.030902〉. 〈hal-01109637〉

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