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Theory of synchronisation and pattern formation on time varying networks

Author

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  • Carletti, Timoteo
  • Fanelli, Duccio

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.

Suggested Citation

  • Carletti, Timoteo & Fanelli, Duccio, 2022. "Theory of synchronisation and pattern formation on time varying networks," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003903
    DOI: 10.1016/j.chaos.2022.112180
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    Cited by:

    1. Muolo, Riccardo & Carletti, Timoteo & Bianconi, Ginestra, 2024. "The three way Dirac operator and dynamical Turing and Dirac induced patterns on nodes and links," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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