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Collective periodicity in mean-field models of cooperative behavior
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SYSNO ASEP 0444594 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Collective periodicity in mean-field models of cooperative behavior Author(s) Collet, F. (IT)
Dai Pra, P. (IT)
Formentin, Marco (UTIA-B)Source Title Nodea-Nonlinear Differential Equations and Applications. - : Springer - ISSN 1021-9722
Roč. 22, č. 5 (2015), s. 1461-1482Number of pages 22 s. Publication form Print - P Language eng - English Country CH - Switzerland Keywords Interacting diffusions ; Noise-induced periodicity ; Homoclinic bifurcation Subject RIV JC - Computer Hardware ; Software R&D Projects GAP201/12/2613 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000361625800020 EID SCOPUS 84942370237 DOI 10.1007/s00030-015-0331-4 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2016
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