3 papers
chao-dyn1998
Bounded Gain of Energy on the Breathing Circle Billiard
Sylvie Oliffson Kamphorst, Sonia Pinto de Carvalho
The Breathing Circle is a 2-dimensional generalization of the Fermi Accelerator. It is shown that the billiard map associated to this model has invariant curves in phase space, imp…
chao-dyn1997
A Lower Bound for Chaos on the Elliptical Stadium
Eduardo Canale, Roberto Markarian, Sylvie Oliffson Kamphorst +1
The elliptical stadium is a plane region bounded by a curve constructed by joining two half-ellipses by two parallel segments of equal length. The billiard inside it, as a map, gen…
chao-dyn1995
Chaotic Properties of the Elliptical Stadium
Roberto Markarian, Sylvie Oliffson Kamphorst, Sonia Pinto de Carvalho
The elliptical stadium is a curve constructed by joining two half-ellipses, with half axes a>1 and b=1, by two straight segments of equal length 2h. In this work we find bounds on…