Speaker

Prof. Dr. Anatoly Neyshtadt,Space Research Institute of Russian Academy of Sciences, Russia and Department of Mathematical Sciences, Loughborough University, UK

　　Title

On mechanisms of destruction of adiabatic invariance

　　Time

　　Venue

Z311

　　Abstract

In many problems of classical mechanics and theoretical physics dynamics can be described as a slow evolution of some periodic or quasi-periodic processes. Adiabatic invariants are approximate conservation laws for such systems. Existence of adiabatic invariants makes dynamics close to regular. Destruction of adiabatic invariance leads to chaotic dynamics. In the talk it is planned to present a review of some mechanisms of destruction of adiabatic invariance. It is planned to consider destruction of adiabatic invariance due to captures into resonances, repulsion from resonances and scattering on resonances, passages through a separatrix, and changes of modes of motion in systems with elastic collisions. It is planned to consider examples of manifestation of these mechanisms in problems related to charged particles dynamics.  

　　Affiliation