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Bibliografie

Journal Article

Collective periodicity in mean-field models of cooperative behavior

Collet F., Dai Pra P., Formentin Marco

: Nodea-Nonlinear Differential Equations and Applications vol.22, 5 (2015), p. 1461-1482

: GAP201/12/2613, GA ČR

: Interacting diffusions, Noise-induced periodicity, Homoclinic bifurcation

: 10.1007/s00030-015-0331-4

: http://library.utia.cas.cz/separaty/2015/SI/formentin-0444594.pdf

(eng): 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.

: JC