Presents a systematic view of vibro-impact dynamics based on the nonlinear dynamics
analysis Comprehensive understanding of any vibro-impact system is critically impeded by …

We study Hamiltonian systems which depend slowly on time. We show that if the
corresponding frozen system has a uniformly hyperbolic invariant set with chaotic behaviour …

Recent results concerned with the energy growth of particles inside a container with slowly
moving walls are summarized, augmented, and discussed. For breathing bounded domains …

We study dynamical properties of an ensemble of noninteracting particles in a time-
dependent elliptical-like billiard. It was recently shown [Phys. Rev. Lett. 100, 014103 (2008) …

A class of nonrelativistic particle accelerators in which the majority of particles gain energy at
an exponential rate is constructed. The class includes ergodic billiards with a piston that …

Fermi acceleration can be modelled by a classical particle moving inside a time-dependent
domain and elastically reflecting from its boundary. In this paper, we describe how the …

The phenomenon of Fermi acceleration is addressed for the problem of a classical and
dissipative bouncer model, using a scaling description. The dynamics of the model, in both …

We consider the phenomenon of Fermi acceleration for a classical particle inside an area
with a closed boundary of oval shape. The boundary is considered to be periodically time …

The behavior of average velocities on a dissipative version of the classical bouncer model is
described using scaling arguments. The description of the model is made by use of a two …

Some dynamical properties of a classical particle confined inside a closed region with an
oval-shaped boundary are studied. We have considered both the static and time-dependent …