| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
Control of instabilities and patterns in extended systems
|
|
|---|---|---|
| Article Number | 15 | |
| Number of page(s) | 9 | |
| DOI | https://doi.org/10.1051/mmnp/2021012 | |
| Published online | 22 March 2021 | |
Chimeras on a social-type network
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.
* Corresponding author: pikovsky@uni-potsdam.de
Received:
18
September
2020
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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