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International scientific conference "Days of Classical Mechanics"
January 26, 2015 12:20–12:55, Moscow, Steklov Mathematical Institute of RAS, Gubkina, 8
 


On mechanisms of destruction of adiabatic invariance

A. I. Neishtadt
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A. I. Neishtadt
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Abstract: 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.

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