Stable motion of highly energetic particles interacting via a repelling potential
Date
Monday, March 28, 2022 14:00 - 15:00
Speaker
Dmitry Turaev (Imperial College London)
Location
Mondi Seminar Room 2, Central Building
Series
Seminar/Talk
Tags
DynamIST
Host
Kaloshin Group
Contact
Url
Consider a system of any given number of particles confined in a box and interacting via a smooth repelling potential. We show that for a generic choice of the potential, if the energy is sufficiently high, then there exists a totally elliptic periodic orbit surrounded by a positive measure set of KAM-tori. This implies that such systems are not ergodic for all sufficiently high energies.