Chimeras on a social-type network

Arkady Pikovsky^1, 2

¹ Department of Physics and Astronomy, University of Potsdam, 14476 Potsdam-Golm, Germany.
² Department of Control Theory, Lobachevsky University of Nizhny Novgorod, Gagarin Avenue 23, 603950 Nizhny Novgorod, Russia.

Mathematical modelling of natural phenomena, Tome 16 (2021), article no. 15.

Résumé

We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements, but otherwise are not interacting. We consider a ring geometry with a long-range coupling, where active oscillators form a fluctuating chimera pattern. We show that the passive elements are strongly correlated. This is explained by negative transversal Lyapunov exponents.

Détail

DOI : 10.1051/mmnp/2021012

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