Colloquium Mathematics, Prof.dr. Henk W. Broer
Join us for coffee and tea at 15.45 p.m.
Date: Tuesday, February 22nd 2011
Speaker: Prof.dr. Henk Broer
Room: 5161.0267 (Bernoulliborg),
Time: 16.15
Title:Resonance and fractal geometry.
Abstract:
The lecture concerns a number of resonance phenomena and the
mathematical theory behind this in terms of parameter dependent
dynamical systems. I will deal with two concrete cases, of which one
goes back to Christiaan Huygens and the other is related to the
Botafumeiro in Santiago de Compostela. In relation to this a number of
`universal' problems will be discussed, related to Hopf bifurcations in
a general sense. It turns out that resonance in the parameter space is
organized by `tongues', the precise forms of which can be revealed by
Singularity Theory. Here the corresponding resonant dynamics is mainly
periodic. In between the tongues there is a fractal set that is built
from a Cantor set of positive measure, where the corresponding dynamics
is mainly multi-periodic. In the overall transitions also chaotic
dynamics may occur.
Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and
Dr. M. Dür (e-mail: M.E.Dur@rug.nl)
| Last modified: | 10 February 2021 2.29 p.m. |
More news
-
10 September 2025
Funding for Feringa and Minnaard from National Growth Fund project Big Chemistry
Two UG research projects have received funding from the National Growth Fund project Big Chemistry via NWO.
-
09 September 2025
The carbon cycle as Earth’s thermostat
Earth's natural carbon cycle becomes unbalanced if we, humans, continue to release extra carbon dioxide (CO2) into the atmosphere. In this overview article about the carbon cycle, you can find out how Earth generally keeps itself in balance and how...
-
09 September 2025
Carbon dioxide’s fingerprint
In the year 2000, Harro Meijer, Professor of Isotope Physics at the University of Groningen, set up the Lutjewad Measurement Station near Hornhuizen. There, researchers from Groningen are mapping where CO2 in the atmosphere originates and where it...