Clustering and Bellerophon state in Kuramoto model with second-order coupling.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5085407
Abstract: In this paper, clustering in the Kuramoto model with second-order coupling is investigated under the bimodal Lorentzian frequency distribution. By linear stability analysis and the Ott-Antonsen ansatz treatment, the critical coupling strength for the synchronization… read more here.
Keywords: order; kuramoto model; second order; model second ... See more keywords
Dynamical equivalence between Kuramoto models with first- and higher-order coupling.
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DOI: 10.1063/1.5118941
Abstract: The Kuramoto model with high-order coupling has recently attracted some attention in the field of coupled oscillators in order, for instance, to describe clustering phenomena in sets of coupled agents. Instead of considering interactions given… read more here.
Keywords: order; kuramoto model; higher order; order coupling ... See more keywords
Cyclops States in Repulsive Kuramoto Networks: The Role of Higher-Order Coupling.
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DOI: 10.1103/physrevlett.130.107201
Abstract: Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera and cluster splay states. Yet, understanding which rhythm prevails remains challenging. Here, we address this fundamental question in the context of Kuramoto-Sakaguchi networks of rotators… read more here.
Keywords: order coupling; kuramoto; cyclops states; higher order ... See more keywords