Orateur
Gregory PAGE
(LPTMC)
Description
A new class of 2D billiards, defined by a unit circle enclosing a geometrically variable, central scattering ellipse is introduced.
The system exhibits mixed dynamics which is explored via Recurrence plots (RPs) and the associated recurrence quantification analysis (RQA), with a focus on long-term motion starting from the unstable period 2 orbit.
The main result shows the existence of a set of critical ellipse geometries at which the dynamics undergoes a transition to global chaos.
Further results show the existence of counterintuitive, fractal behaviours within a well defined variable space at the moment of dynamical transition at these critical geometries.
The presentation will conclude with possible explanations of these behaviours.
Field
Maths
| Language | English |
|---|
