天元动力系统系列报告

报告题目: Stable motion of highly energetic particles interacting via a repelling potential

报告人：Dmitry Turaev   Imperial College London(帝国理工学院)，UK(英国)

报告时间：2022年4月18日（星期一）下午5:00-6:00

报告地点：Zoom 在线报告：884 2412 1441 密码：123456

报告摘要： 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.

报告人简介：Dmitry Turaev is a professor at Imperial College, London, UK, he was born in the city of Nizhny Novgorod, Russia, and studied mathematics at the University of Nizhny Novgorod and then worked at the same university as a researcher. He received his PhD in Mathematics in 1991 and has since held postdoc positions in Israel, Germany and US until 2003 when he became an associate professor at the Ben Gurion University of the Negev in Israel. He joined Imperial College, London, in 2009. He was a student and long time collaborator of the late Leonid Shilnikov, one of the founding fathers of chaos theory. Dmitry's research interests include various branches of the theory of dynamical systems, in both its pure and applied dimensions; he also has works on optics and the dark matter problem. His work is well received by colleagues and he is recognized as one of the leaders of modern nonlinear dynamics research. He delivered plenary talks at major conferences on the subject, including the invited lecture at the Dynamical Systems section of the ICM-2010.