Benjamin–Feir instabilities on directed networks

Francesca Di Patti, Duccio Fanelli, Filippo Miele, Timoteo Carletti

Résultats de recherche: Recherche - Revue par des pairsArticle

Résumé

The Complex Ginzburg–Landau equation is studied assuming a directed network of coupled oscillators. The asymmetry makes the spectrum of the Laplacian operator complex, and it is ultimately responsible for the onset of a generalized class of topological instability, reminiscent of the Benjamin–Feir type. The analysis is initially carried out for a specific class of networks, characterized by a circulant adjacency matrix. This allows us to delineate analytically the domain in the parameter space for which the generalized instability occurs. We then move forward to considering the family of non linear oscillators coupled via a generic direct, though balanced, graph. The characteristics of the emerging patterns are discussed within a self-consistent theoretical framework.
langueAnglais
Pages8-16
journalChaos, Solitons & Fractals
Volume90
Les DOIs
étatPublié - 1 mars 2017

Empreinte digitale

Directed Network
Class
Circulant Matrix
Complex Ginzburg-Landau Equation
Nonlinear Oscillator
Coupled Oscillators
Adjacency Matrix
Asymmetry
Parameter Space
Graph in graph theory
Family
Framework

mots-clés

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    Di Patti, Francesca ; Fanelli, Duccio ; Miele, Filippo ; Carletti, Timoteo. / Benjamin–Feir instabilities on directed networks. Dans: Chaos, Solitons & Fractals. 2017 ; Vol 90. p. 8-16
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    Benjamin–Feir instabilities on directed networks. / Di Patti, Francesca ; Fanelli, Duccio; Miele, Filippo; Carletti, Timoteo.

    Dans: Chaos, Solitons & Fractals, Vol 90, 01.03.2017, p. 8-16.

    Résultats de recherche: Recherche - Revue par des pairsArticle

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    AU - Miele,Filippo

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    KW - Pattern formation

    KW - reaction-diffusion

    KW - Coupled oscillators

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    Di Patti F, Fanelli D, Miele F, Carletti T. Benjamin–Feir instabilities on directed networks. Chaos, Solitons & Fractals. 2017 mars 1;90:8-16. Disponible à, DOI: 10.1016/j.chaos.2016.11.018