Propagation of bursting oscillations - Sorbonne Université Accéder directement au contenu
Article Dans Une Revue Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Année : 2009

Propagation of bursting oscillations

B. Ambrosio
  • Fonction : Auteur

Résumé

We investigate a system of partial differential equations of reaction–diffusion type which displays propagation of bursting oscillations. This system represents the time evolution of an assembly of cells constituted by a small nucleus of bursting cells near the origin immersed in the middle of excitable cells. We show that this system displays a global attractor in an appropriated functional space. Numerical simulations show the existence in this attractor of recurrent solutions which are waves propagating from the central source. The propagation seems possible if the excitability of the neighbouring cells is above some threshold.

Dates et versions

hal-01398770 , version 1 (17-11-2016)

Identifiants

Citer

B. Ambrosio, Jean-Pierre Françoise. Propagation of bursting oscillations. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 367 (1908), pp.4863 - 4875. ⟨10.1098/rsta.2009.0143⟩. ⟨hal-01398770⟩
222 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More