Stabilizing Stuart-Landau oscillators via time-varying networks

Claudio Pereti and Duccio Fanelli

Chaos, Solitons & Fractals, 2020, vol. 133, issue C

Abstract: A procedure is developed and tested to enforce synchronicity in a family of Stuart-Landau oscillators, coupled through a symmetric network. The proposed method exploits network plasticity, as an inherent non autonomous drive. More specifically, we assume that the system is initially confined on a network which turns the underlying homogeneous synchronous state unstable. A properly engineered network can be always generated, which links the same set of nodes, and allows for synchronicity to be eventually restored, upon performing continuously swappings, at a sufficient rate, between the two aforementioned networks. The result is cast in rigorous terms, as follows an application of the average theorem and the critical swapping rate determined analytically.

Keywords: Networks; Coupled oscillators; Synchronization; Benjamin-Feir instability (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077919305442

DOI: 10.1016/j.chaos.2019.109587

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