Synchronization of coupled nonlinear oscillatiors with gamma-distributed delays - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2013

Synchronization of coupled nonlinear oscillatiors with gamma-distributed delays

Résumé

We derive conditions for the synchronization of coupled nonlinear oscillators affected by distributed delays in the interconnections. The distributed delays are characterized by a gamma-distribution kernel with a gap. The approach is based on the stability analysis of synchronized equilibria in the (delays,gain) parameter space and the characterization of the structure of the emanating solutions at the bifurcations. The results are applied to networks of coupled Lorenz system. In particular it is shown that, independently of the network topology, for sufficiently large coupling gains the distribution of the delay has a stabilizing effect on the stability of the synchronized equilibrium.

Domaines

Automatique
Fichier principal
Vignette du fichier
ACCDistributedDelayOscillators.pdf (320.6 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00783112 , version 1 (31-01-2013)

Identifiants

  • HAL Id : hal-00783112 , version 1

Citer

Irinel-Constantin Morarescu, Wim Michiels, Marc Jungers. Synchronization of coupled nonlinear oscillatiors with gamma-distributed delays. American Control Conference, ACC 2013, Jun 2013, Washington, United States. pp.CDROM. ⟨hal-00783112⟩
83 Consultations
197 Téléchargements

Partager

Gmail Facebook X LinkedIn More