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math.DS2016
-stability of periodic billiard orbits
José Pedro Gaivão, Serge Troubetzkoy
We introduce a new notion of stability for periodic orbits in polygonal billiards. We say that a periodic orbit of a polygonal billiard is -stable if there is a periodic orbit f…
math.DS2016
Hyperbolic billiards on polytopes with contracting reflection laws
Pedro Duarte, José Pedro Gaivão, Mohammad Soufi
We study billiards on polytopes in $\Rr^d$ with contracting reflection laws, i.e. non-standard reflection laws that contract the reflection angle towards the normal. We prove that…