Math. Model. Nat. Phenom.
Volume 16, 2021
Control of instabilities and patterns in extended systems
|Number of page(s)||9|
|Published online||22 March 2021|
Chimeras on a social-type network
Department of Physics and Astronomy, University of Potsdam,
2 Department of Control Theory, Lobachevsky University of Nizhny Novgorod, Gagarin Avenue 23, 603950 Nizhny Novgorod, Russia.
* Corresponding author: email@example.com
Accepted: 3 February 2021
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.
Mathematics Subject Classification: 37N99 / 37M05
Key words: Network / Chimera / correlations / Lyapunov exponent
© The authors. Published by EDP Sciences, 2021
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