Desynchronization induced by time-varying network

Maxime Lucas, Duccio Fanelli, Timoteo Carletti, Julien Petit

Research output: Contribution to journalArticle

Abstract

The synchronous dynamics of an array of excitable oscillators, coupled via a generic
graph, is studied. Non-homogeneous perturbations can grow and destroy synchrony, via a self-consistent instability which is solely instigated by the intrinsic network dynamics. By acting on the characteristic time-scale of the network modulation, one can make the examined system to behave as its (partially) averaged analogue. This result is formally obtained by proving an extended version of the averaging theorem, which allows for partial averages to be carried out. As a byproduct of the analysis, oscillation death is reported to follow the onset of the network-driven instability.
LanguageEnglish
Pages50008p1-p7
Number of pages7
Journal Europhysics Letters: a letters journal exploring the frontiers of physics
Volume121
Issue number5
DOIs
Publication statusPublished - 10 May 2018

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death
theorems
oscillators
analogs
modulation
perturbation
oscillations

Keywords

  • Synchronization; coupled oscillators
  • Self-organized systems
  • Patterns
  • time varying network
  • average theorem

Cite this

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Desynchronization induced by time-varying network. / Lucas, Maxime; Fanelli, Duccio; Carletti, Timoteo; Petit, Julien.

In: Europhysics Letters: a letters journal exploring the frontiers of physics , Vol. 121, No. 5, 10.05.2018, p. 50008p1-p7.

Research output: Contribution to journalArticle

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KW - Synchronization; coupled oscillators

KW - Self-organized systems

KW - Patterns

KW - time varying network

KW - average theorem

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