Theory of synchronisation and pattern formation on time varying networks

Timoteo Carletti, Duccio Fanelli

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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.
Original languageEnglish
Article number112180
JournalChaos, Solitons & Fractals
Volume159
DOIs
Publication statusPublished - 11 May 2022

Keywords

  • pattern formation
  • synchronization
  • time varying network
  • Master stability equation
  • Time varying networks
  • Turing pattern
  • Coupled regular oscillators
  • Coupled chaotic oscillators
  • Synchronisation

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