Interacting diffusions and periodic behaviors
Event details
| Date | 04.05.2012 |
| Hour | 10:15 › 11:15 |
| Speaker | Giambattista Giacomin |
| Location | |
| Category | Conferences - Seminars |
The aim of this talk is to present and analyze a class of models that have been proposed in the biology literature to understand a surprising but omnipresent phenomenon: that the noise often appears to be at the origin of oscillatory behaviors. This feature emerges in systems of several interacting units (cells, circuits, individuals,…) in interaction, when the dynamics of the units is perturbed by noise. More precisely, an essential ingredient seems to be the nonreversible character of the system and this causes the lack of general analytic tools to get a proper understanding of these oscillations. We attack this problem in the context of a class
of interacting diffusion models, the active rotator models, proposed by Kuramoto and Shinomoto in the 80s. In this framework we exploit the fact that active rotators reduce, for a particular 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 describes the evolution of the empirical measure of the system in the limit of infinitely many units.
of interacting diffusion models, the active rotator models, proposed by Kuramoto and Shinomoto in the 80s. In this framework we exploit the fact that active rotators reduce, for a particular 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 describes the evolution of the empirical measure of the system in the limit of infinitely many units.
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Isabelle Derivaz-Rabii