We propose a way to break symmetry in stochastic dynamics by introducing a dissipation term. We show in a specific mean-field model, that if the reversible model undergoes a phase transition of ferromagnetic type, then its dissipative counterpart exhibits periodic orbits in the thermodynamic limit.

Collective periodicity in mean-field models of cooperative behavior

Collet Francesca;Dai Pra Paolo;
2015-01-01

Abstract

We propose a way to break symmetry in stochastic dynamics by introducing a dissipation term. We show in a specific mean-field model, that if the reversible model undergoes a phase transition of ferromagnetic type, then its dissipative counterpart exhibits periodic orbits in the thermodynamic limit.
2015
Homoclinic bifurcation; Interacting diffusions; Mean-field interaction; Noise-induced periodicity; Random potential; Applied Mathematics; Analysis
File in questo prodotto:
File Dimensione Formato  
NODEA15.pdf

solo utenti autorizzati

Tipologia: Documento in Pre-print
Licenza: Dominio pubblico
Dimensione 3.12 MB
Formato Adobe PDF
3.12 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/1009604
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 16
social impact