Area-preserving maps play an important role in diverse fields as they are widely used for
modeling complex systems. In addition, these maps provide rich observations by presenting …

Some dynamical properties for a dissipative kicked rotator are studied. Our results show that
when dissipation is taken into account a drastic change happens in the structure of the …

Some dynamical properties for a Lorentz gas were studied considering both static and time-
dependent boundaries. For the static case, it was confirmed that the system has a chaotic …

A dynamical phase transition from integrability to non-integrability for a family of 2-D
Hamiltonian map**s whose angle, θ, diverges in the limit of vanishingly action, I, is …

We explore Fermi acceleration in a stochastic oval billiard which shows unlimited to limited
diffusion in energy when passing from the free to the dissipative case. We provide evidence …

Critical exponents that describe a transition from integrability to non-integrability in a two-
dimensional, nonlinear and area-preserving map are obtained via localization of the first …

Some dynamical properties of time-dependent driven elliptical-shaped billiards are studied.
It was shown that for conservative time-dependent dynamics the model exhibits Fermi …

Some dynamical properties for a bouncing ball model are studied. We show that when
dissipation is introduced the structure of the phase space is changed and attractors appear …

A new universal empirical function that depends on a single critical exponent (acceleration
exponent) is proposed to describe the scaling behavior in a dissipative kicked rotator. The …