On mechanisms of destruction of adiabatic invariance

In many problems of classical mechanics and theoretical physics dynamics can be described as a slow evolution of periodic or quasi-periodic processes. Adiabatic invariants are approximate first integrals for such a dynamics. 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 examples of manifestation of these mechanisms in problems related to charged particles dynamics.