Theory of synchronisation and pattern formation on time varying networks

Timoteo Carletti and Duccio Fanelli

Chaos, Solitons & Fractals, 2022, vol. 159, issue C

Abstract: Synchronisation and pattern formation have been intensely addressed for systems evolving on static networks. Extending the study to include the inherent ability of the network to adjust over time proved cumbersome and led to conclusions which lack of generality, as relying on peculiar assumptions. Here, the master stability formalism is extended to account, in a thoroughly general prospect, for the additional contributions as stemming from the time evolution of the underlying network. The theory is successfully challenged against two illustrative testbeds, which can be respectively ascribed to synchronisation and Turing settings.

Keywords: Time varying networks; Synchronisation; Turing pattern; Master stability equation; Coupled chaotic oscillators; Coupled regular oscillators (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003903

DOI: 10.1016/j.chaos.2022.112180

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