Desynchronization induced by time-varying network

Maxime Lucas; Duccio Fanelli; Timoteo Carletti; Julien Petit

doi:https://doi.org/10.1209/0295-5075/121/50008

Desynchronization induced by time-varying network

Maxime Lucas, Duccio Fanelli, Timoteo Carletti, Julien Petit

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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.

Original language	English
Article number	50008
Pages (from-to)	50008p1-p7
Number of pages	7
Journal	Europhysics Letters: a letters journal exploring the frontiers of physics
Volume	121
Issue number	5
DOIs	https://doi.org/10.1209/0295-5075/121/50008
Publication status	Published - 10 May 2018

Keywords

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

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https://doi.org/10.1209/0295-5075/121/50008

EPL_121_2018pp50008Final published version, 706 KB

http://iopscience.iop.org/article/10.1209/0295-5075/121/50008

Cite this

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title = "Desynchronization induced by time-varying network",

abstract = "The synchronous dynamics of an array of excitable oscillators, coupled via a genericgraph, 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.",

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KW - Patterns

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Desynchronization induced by time-varying network

Abstract

Keywords

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Other files and links

Reaction-diffusion equations: the role of geometry and granularity

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Turing patterns on time varying networks

Foundations of diffusion and instabilities in nonlinear evolution equations on temporal graphs and graphons

Cite this

Desynchronization induced by time-varying network

Abstract

Keywords

Access to Document

Other files and links

Projects

Reaction-diffusion equations: the role of geometry and granularity

Activities

SIAM Conference Dynamical Systems

Turing patterns on time varying networks

Student theses

Foundations of diffusion and instabilities in nonlinear evolution equations on temporal graphs and graphons

Cite this