Colloquium Mathematics, Prof.dr. C. Külske (Bochum University)

Join us for coffee and tea at 15.30 p.m.

Date:                          Tuesday, November 19^th 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/