There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

Some phase space transport properties for a conservative bouncer model are studied. The
dynamics of the model is described by using a two-dimensional measure preserving …

We discuss the phenomenon of stickiness in Hamiltonian systems. By visual examples of
billiards, it is demonstrated that one must make a difference between internal (within chaotic …

The dynamics in three-dimensional (3D) billiards leads, using a Poincaré section, to a four-
dimensional map, which is challenging to visualize. By means of the recently introduced 3D …

We consider classical dynamical properties of a particle in a constant gravitational force and
making specular reflections with circular, elliptic or oval boundaries. The model and collision …

Rigid bodies collision maps in dimension-two, under a natural set of physical requirements,
can be classified into two types: the standard specular reflection map and a second which …

Dynamical properties are studied for escaping particles, injected through a hole in an oval
billiard. The dynamics is considered for both static and periodically moving boundaries. For …

In this thesis the classical and quantum dynamics in billiard systems are considered.
Extensive numerical studies of the classical transport properties in several examples of …

We investigate the effect of white-noise perturbations on chaotic trajectories in open
billiards. We focus on the temporal decay of the survival probability for generic mixed-phase …

The purpose of this work is to present convergence properties of regular and chaotic
conservative trajectories under small dissipation. It is known that when subjected to …