7 citations · 7 across the 1 of their papers we have counts for
4 papers
Hyperbolic polygonal billiards with finitely many ergodic SRB measures
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +1
We study polygonal billiards with reflection laws contracting the reflected angle towards the normal. It is shown that if a polygon does not have parallel sides facing each other,…
Hyperbolic polygonal billiards close to 1-dimensional piecewise expanding maps
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +1
We consider polygonal billiards with collisions contracting the reflection angle towards the normal to the boundary of the table. In previous work, we proved that such billiards ha…
Ergodicity of polygonal slap maps
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +1
Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projecting the sides of a polygon along their normals onto the perimeter of the polygon. These m…
Chaos in the square billiard with a modified reflection law
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +2
The purpose of this paper is to study the dynamics of a square billiard with a non-standard reflection law such that the angle of reflection of the particle is a linear contraction…