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chao-dyn1998★ 52 cited
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-dyn1995★ 26 cited
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…