Events

Nov
7
Sat 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
31
Sat 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
25
Sun 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
19
Mon 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
12
Mon 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
7
Wed 2015

16:00 - 17:00

Organised by Prof Peter Ashwin.

Hosted by University of Manchester.

MAGIC Launch Lecture: Chaos, numbers and fractuals: the MAGIC of ergodic theory

Charles Walkden (University of Manchester)

Abstract: Dynamical systems is the study of iteration: given a map T acting on a space X and a point x ∈ X, what happens when one repeatedly applies the map T to x? Often, dynamical systems are chaotic: two points x,y ∈ X that start very close to each other can have very different behaviours under iteration. Instead of trying to understand the behaviour of every point under iteration, ergodic theory takes a more qualitative view: what does the long-term behaviour of a typical point look like? In addition, subsets of X that are invariant under the dynamics have a complicated structure and are commonly `fractal' in nature. We will see how these notions fit together and allow us to obtain some striking and surprising results in number theory.

Oct
5
Mon 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
1
Thu 2015

09:00 - 10:00

Hosted by University of Manchester.

Sep
30
Wed 2015

15:00 - 16:00

Organised by James Perrin.

Hosted by University of Manchester.

I will be demonstrating MAGIC and the Visimeet Video Conferencing software for Node Representatives and Lecturers on Wed 30 Sep 2015 at 3pm. I strongly recommend that you attend even if you are comfortable using the software as there have been some changes since last semester.

Sep
28
Mon 2015

16:00 - 17:00

Hosted by University of Manchester.

Sep
25
Fri 2015

10:00 - 11:00

Hosted by University of Manchester.

Sep
23
Wed 2015

08:30 - 17:00

Hosted by University of Manchester.

Sep
3
Thu 2015

14:00 - 17:00

Hosted by University of Manchester.

Jul
1
Wed 2015

14:00 - 17:00

Organised by Sam Blackburn.

Jun
25
Thu 2015

16:00 - 17:00

Hosted by University of Exeter.

AG dynamics seminar: Nontrivial collective dynamics in a pulse-coupled variant of the Kuramoto model
A variant of the Kuramoto model, where the coupling is mediated by delta-pulses sent across a globally coupled network, is investigated upon increasing the coupling strength. The model, which is inspired by the dynamics of leaky integrate and fire neurons, reveals a rather complex collective dynamics. In fact, as soon as the synchronization threshold is overcome, a macroscopic collective dynamics sets in, that appears to be high-dimensional. The macroscopic motion is studied by implementing a standard time-series analysis, while the microscopic (single oscillator) dynamics, is studied with the help of raster plots, phase slips, and single-oscillator Lyapunov exponents.