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Jump in adiabatic invariant at a transition between modes of motion for systems with impacts
journal contribution
posted on 2014-08-15, 09:40 authored by Igor Gorelyshev, Anatoly NeishtadtAnatoly NeishtadtThe one-dimensional motion of a particle between slowly moving reflecting
walls in a slowly varying potential is considered. It is shown that standard
adiabatic perturbation theory describes dynamics in the mode with impacts with
the same accuracy as in the mode without impacts. An asymptotic formula for
the jump of adiabatic invariant due to the change in mode of the motion is
obtained.
History
School
- Science
Department
- Mathematical Sciences
Published in
NONLINEARITYVolume
21Issue
4Pages
661 - 676 (16)Citation
GORELYSHEV, I. and NEISHTADT, A., 2008. Jump in adiabatic invariant at a transition between modes of motion for systems with impacts. Nonlinearity, 21(4), pp.661-676.Publisher
© IOP Publishing Ltd and London Mathematical SocietyVersion
- NA (Not Applicable or Unknown)
Publication date
2008Notes
This item is Closed Access.ISSN
0951-7715Publisher version
Language
- en