Title: Non-local coupling among oscillators mediated by fast travelling waves

Authors: Raul De Palma Aristides; Ricardo Luiz Viana

Addresses: Department of Physics, UFPR – Curitiba, PR, R. Francisco H. dos Santos, 100, Jd. das Américas, CEP: 815351-980, Curitiba, Brazil ' Department of Physics, UFPR – Curitiba, PR, R. Francisco H. dos Santos, 100, Jd. das Américas, CEP: 815351-980, Curitiba, Brazil

Abstract: We propose a general model for coupling among oscillators mediated by wave propagation in the spatial region in which the oscillators are embedded. Particular cases are presented in one, two and three spatial dimensions. We present, as a numerical application, an investigation of phase and frequency synchronisation in a lattice of phase oscillators coupled according the general model.

Keywords: non-local coupling; phase oscillators; synchronisation.

DOI: 10.1504/IJNDC.2019.103282

International Journal of Nonlinear Dynamics and Control, 2019 Vol.1 No.4, pp.376 - 386

Received: 30 Apr 2018
Accepted: 28 Dec 2018
Published online: 25 Oct 2019 *

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