Desynchronization induced by time-varying network

Maxime Lucas; Duccio Fanelli; Timoteo Carletti; Julien Petit

doi:10.1209/0295-5075/121/50008

Desynchronization induced by time-varying network

Résultats de recherche: Contribution à un journal/une revue › Article › Revue par des pairs

103 Téléchargements (Pure)

Résumé

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.

langue originale	Anglais
Numéro d'article	50008
Pages (de - à)	50008p1-p7
Nombre de pages	7
journal	Europhysics Letters
Volume	121
Numéro de publication	5
Les DOIs	https://doi.org/10.1209/0295-5075/121/50008
Etat de la publication	Publié - 10 mai 2018

Financement

Bailleurs de fonds	Numéro du bailleur de fonds
Marie Sk lodowska-Curie
Horizon 2020
Horizon 2020 Framework Programme	642563
Fundação para a Ciência e a Tecnologia	Incentivo/SAU/LA0001/2013

Accès au document

10.1209/0295-5075/121/50008

EPL_121_2018pp50008Version finale publiée, 706 KB

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

Autres fichiers et liens

Link to publication in Scopus

Reaction-diffusion equations: the role of geometry and granularity
Carletti, T. (Co-investigateur) & Fuzfa, A. (Co-investigateur)
3/10/11 → …
Projet: Recherche

1 Participation à un atelier/workshop, un séminaire, un cours
1 Discours invité

SIAM Conference Dynamical Systems
Carletti, T. (Conférencier)
19 mai 2019
Activité: Participation ou organisation d'un événement › Participation à un atelier/workshop, un séminaire, un cours
Turing patterns on time varying networks
Carletti, T. (Orateur)
18 juil. 2018
Activité: Discours ou présentation › Discours invité

Foundations of diffusion and instabilities in nonlinear evolution equations on temporal graphs and graphons
PETIT, J. (Auteur), Carletti, T. (Promoteur), Lauwens, B. (Promoteur), MAUROY, A. (Président), Fanelli, D. (Jury), Nakao, H. (Jury) & Gallant, J. (Jury), 25 juin 2020
Student thesis: Doc types › Docteur en Sciences

Fichier

Contient cette citation

@article{d59bf382675c4f2c9068a7254828ebb1,

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

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.",

keywords = "Synchronization; coupled oscillators, Self-organized systems, Patterns, time varying network, average theorem",

author = "Maxime Lucas and Duccio Fanelli and Timoteo Carletti and Julien Petit",

year = "2018",

month = may,

day = "10",

doi = "10.1209/0295-5075/121/50008",

language = "English",

volume = "121",

pages = "50008p1--p7",

journal = "Europhysics Letters",

issn = "0295-5075",

publisher = "IOP Publishing Ltd.",

number = "5",

}

TY - JOUR

T1 - Desynchronization induced by time-varying network

AU - Lucas, Maxime

AU - Fanelli, Duccio

AU - Carletti, Timoteo

AU - Petit, Julien

PY - 2018/5/10

Y1 - 2018/5/10

N2 - 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.

AB - 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.

KW - Synchronization; coupled oscillators

KW - Self-organized systems

KW - Patterns

KW - time varying network

KW - average theorem

UR - https://www.scopus.com/pages/publications/85047336819

U2 - 10.1209/0295-5075/121/50008

DO - 10.1209/0295-5075/121/50008

M3 - Article

SN - 0295-5075

VL - 121

SP - 50008p1-p7

JO - Europhysics Letters

JF - Europhysics Letters

IS - 5

M1 - 50008

ER -

Desynchronization induced by time-varying network

Résumé

Financement

Accès au document

Autres fichiers et liens

Empreinte digitale

Projets

Reaction-diffusion equations: the role of geometry and granularity

Activités

SIAM Conference Dynamical Systems

Turing patterns on time varying networks

Thèses de l'étudiant

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

Contient cette citation