English

On the adiabatic perturbation theory for systems with impacts

Dynamical Systems 2007-05-23 v1 Mathematical Physics math.MP

Abstract

We justify an applicability of the adiabatic perturbation theory for three well known systems with impacts: a ball between two slowly moving walls, a slowly irregular waveguide, and an adiabatic piston.

Keywords

Cite

@article{arxiv.math/0503705,
  title  = {On the adiabatic perturbation theory for systems with impacts},
  author = {I. V. Gorelyshev and A. I. Neishtadt},
  journal= {arXiv preprint arXiv:math/0503705},
  year   = {2007}
}

Comments

18 pages, 6 figures

R2 v1 2026-07-22T17:17:32.340Z