3 citations · 3 across the 1 of their papers we have counts for
2 papers
math.DS2017
Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse
Carl P. Dettmann, Vitaly Fain, Dmitry Turaev
We study billiard dynamics inside an ellipse for which the axes lengths are changed periodically in time and an -small quartic polynomial deformation is added to the boundary…
math.DS2016★ 3 cited
Linear and nonlinear stability of periodic orbits in annular billiards
Carl P. Dettmann, Vitaly Fain
An annular billiard is a dynamical system in which a particle moves freely in a disk except for elastic collisions with the boundary, and also a circular scatterer in the interior…