7 citations · 7 across the 2 of their papers we have counts for
2 papers
math.DS2005
On the adiabatic perturbation theory for systems with impacts
I. V. Gorelyshev, A. I. Neishtadt
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, an…
nlin.CD2003★ 7 cited
Resonant phenomena in slowly perturbed elliptic billiards
A. P. Itin, A. I. Neishtadt
We consider an elliptic billiard whose shape slowly changes. During slow evolution of the billiard certain resonance conditions can be fulfilled. We study the phenomena of capture…