Projets par an
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.
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 |
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Numéro d'article | 50008 |
Pages (de - à) | 50008p1-p7 |
Nombre de pages | 7 |
journal | Europhysics Letters |
Volume | 121 |
Numéro de publication | 5 |
Les DOIs | |
Etat de la publication | Publié - 10 mai 2018 |
Empreinte digitale
Examiner les sujets de recherche de « Desynchronization induced by time-varying network ». Ensemble, ils forment une empreinte digitale unique.Projets
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Reaction-diffusion equations: the role of geometry and granularity
Carletti, T. (Co-investigateur) & Fuzfa, A. (Co-investigateur)
3/10/11 → …
Projet: Recherche
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SIAM Conference Dynamical Systems
Carletti, T. (Conférencier)
19 mai 2019Activité: Participation ou organisation d'un événement › Participation à un atelier/workshop, un séminaire, un cours
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Turing patterns on time varying networks
Carletti, T. (Orateur)
18 juil. 2018Activité: Discours ou présentation › Discours invité
Thèses de l'étudiant
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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 2020Student thesis: Doc types › Docteur en Sciences
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