The chaotic low energy region of the Fermi-Ulam simplified accelerator model is
characterized by the use of scaling analysis. It is shown that the average velocity and the …

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 …

Fermi acceleration in a Fermi-Ulam model, consisting of an ensemble of particles bouncing
between two, infinitely heavy, stochastically oscillating hard walls, is investigated. It is shown …

Some dynamical and chaotic properties are studied for a classical particle bouncing
between two rigid walls, one of which is fixed and the other moves in time, in the presence of …

The main goal of this book is to present and discuss many of the common scaling properties
observed in some nonlinear dynamical systems described by mappings. The …

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 …

Fermi acceleration of an ensemble of noninteracting particles evolving in a stochastic two-
moving wall variant of the Fermi-Ulam model (FUM) and the phase randomized …

The chaotic low-energy region of a simplified Fermi-Ulam accelerator model is investigated
numerically to determine the average energy and number of collisions as functions of time …

The dynamics of the full, dissipative, Fermi accelerator model is shown to exhibit crisis
events as the damping coefficient is varied. The investigation, based on analysis of a two …

The chaotic low energy region (chaotic sea) of the Fermi-Ulam accelerator model is
discussed within a scaling framework near the integrable to non-integrable transition …