Colloquium Mathematics, Prof.dr. C. Külske (Bochum University)
Join us for coffee and tea at 15.30 p.m.
Date: Tuesday, November 19th 2013
Speaker: Christof Külske
Room: 5161.0293 (Bernoulliborg)
Time: 16.00
Title: Synchronization, non-ergodicity and periodic orbits.
Abstract:
It has been observed experimentally that large systems of weakly coupled oscillators may show a collective behavior of switching to a synchronized motion, depending on parameter regimes.
A famous example for this is the synchronization of neurons in the brain.
We look at systems of infinitely many finite-state variables which are updated in continuous time via local stochastic rules (interacting particle systems).
Are there systems with a unique time-invariant measure which does not attract all starting measures (non-ergodicity)?
Can we find periodic orbits of infinite-volume measures (showing synchronized motion)?
What can we say about the domain of attraction?
We will discuss these questions and give some answers for lattice and mean-field systems.
This is joint work with Benedikt Jahnel which continues earlier research with van Enter and Opoku.
Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and
Dr. A.V. Kiselev (e-mail:
a.v.kiselev rug.nl
)
http://www.rug.nl/research/jbi/news/colloquia/mathematics-colloquia/
| Last modified: | 10 February 2021 2.29 p.m. |
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