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math.DS2026
Breaking of invariant curves: from the Fermi-Ulam map to the breathing circle billiard
José Lamas, Stefano Marò
We consider the breathing circle billiard, in which a point particle moves freely inside a disk. The radius varies periodically in time, with elastic reflections at the moving boun…
math.DS2024
Oscillatory motions, parabolic orbits and collision orbits in the planar circular restricted three-body problem
Marcel Guardia, José Lamas, Tere M. Seara
In this paper we consider the planar circular restricted three body problem (PCRTBP), which models the motion of a massless body under the attraction of other two bodies, the prima…