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PRODID:-//Memento EPFL//
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SUMMARY:Interacting diffusions and periodic behaviors
DTSTART:20120504T101500
DTEND:20120504T111500
DTSTAMP:20260406T211426Z
UID:dfbdd5aee56d1baa4941c00c26a14f9a65e6adce93c20a085ee3a6b4
CATEGORIES:Conferences - Seminars
DESCRIPTION:Giambattista Giacomin\nThe aim of this talk is to present and 
 analyze a class of models that have been proposed in the biology literatur
 e to understand a surprising but omnipresent phenomenon: that the noise of
 ten appears to be at the origin of oscillatory behaviors. This feature eme
 rges in systems of several interacting units (cells\, circuits\, individua
 ls\,…) in interaction\, when the dynamics of the units is perturbed by n
 oise. More precisely\, an essential ingredient seems to be the nonreversib
 le character of the system and this causes the lack of general analytic to
 ols to get a proper understanding of these oscillations. We attack this pr
 oblem in the context of a class\nof interacting diffusion models\, the act
 ive rotator models\, proposed by Kuramoto and Shinomoto in the 80s. In thi
 s framework we exploit the fact that active rotators reduce\, for a partic
 ular choice of the parameters\, to a reversible model that we can exploit 
 as starting point to explore the nearby non-reversible cases. The heart of
  the analysis is developed at the level of the Fokker-Planck PDE that desc
 ribes the evolution of the empirical measure of the system in the limit of
  infinitely many units.
LOCATION:AAC006 http://plan.epfl.ch/?zoom=20&recenter_y=5864224.42038&rece
 nter_x=730672.24955&layerNodes=fonds\,batiments\,labels\,information\,park
 ings_publics\,arrets_metro&floor=0&q=AAC006
STATUS:CONFIRMED
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