Number of the records: 1
Collective periodicity in mean-field models of cooperative behavior
- 1.0444594 - ÚTIA 2016 RIV CH eng J - Journal Article
Collet, F. - Dai Pra, P. - Formentin, Marco
Collective periodicity in mean-field models of cooperative behavior.
Nodea-Nonlinear Differential Equations and Applications. Roč. 22, č. 5 (2015), s. 1461-1482. ISSN 1021-9722. E-ISSN 1420-9004
R&D Projects: GA ČR GAP201/12/2613
Institutional support: RVO:67985556
Keywords : Interacting diffusions * Noise-induced periodicity * Homoclinic bifurcation
Subject RIV: JC - Computer Hardware ; Software
Impact factor: 0.797, year: 2015
http://library.utia.cas.cz/separaty/2015/SI/formentin-0444594.pdf
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.
Permanent Link: http://hdl.handle.net/11104/0247500
Number of the records: 1