Optimal synchronization of circulant and non-circulant oscillators

Shirin Panahi, Fahimeh Nazarimehr, Sajad Jafari, Julien C. Sprott, Matjaž Perc and Robert Repnik

Applied Mathematics and Computation, 2021, vol. 394, issue C

Abstract: We study the synchronization of coupled identical circulant and non-circulant oscillators using single variable and different multi-variable coupling schemes. We use the master stability function to determine conditions for synchronization, in particular the necessary coupling parameter that ensures a stable synchronization manifold. We show that for circulant oscillators, the smallest coupling parameter for synchronization is needed when multi-variable coupling with the same coupling coefficients is applied. Conversely, for non-circulant oscillators, no such general conclusions are attainable in that the smallest coupling parameter cannot be attributed to a particular coupling setup.

Keywords: Circulant oscillator; Non-circulant oscillator; Single variable coupling; Multi-variable coupling; Master stability function (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:394:y:2021:i:c:s0096300320307839

DOI: 10.1016/j.amc.2020.125830

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