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arXiv · 2011.01708

Chimeras on a social-type network

Arkady Pikovsky
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Abstract

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.

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Arkady Pikovsky. 2020-11-03. Chimeras on a social-type network. https://arxiv.org/abs/2011.01708

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