37 citations · 138 across the 23 of their papers we have counts for
5 papers · 1 filter
Scaling Invariance in a Time-Dependent Elliptical Billiard
Diego F. M. Oliveira, Marko Robnik
We study some dynamical properties of a classical time-dependent elliptical billiard. We consider periodically moving boundary and collisions between the particle and the boundary…
Dynamical properties of a particle in a wave packet: scaling invariance and boundary crisis
Diego F. M. Oliveira, Marko Robnik, Edson D. Leonel
Some dynamical properties present in a problem concerning the acceleration of particles in a wave packet are studied. The dynamics of the model is described in terms of a two-dimen…
Statistical properties of a dissipative kicked system: critical exponents and scaling invariance
Diego F. M. Oliveira, Marko Robnik, Edson D. Leonel
A new universal {\it empirical} function that depends on a single critical exponent (acceleration exponent) is proposed to describe the scaling behavior in a dissipative kicked rot…
The Feigenbaum's for a high dissipative bouncing ball model
Diego F. M. Oliveira, Edson D. Leonel
We have studied a dissipative version of a one-dimensional Fermi accelerator model. The dynamics of the model is described in terms of a two-dimensional, nonlinear area-contracting…
Boundary crisis and suppression of Fermi acceleration in a dissipative two dimensional non-integrable time-dependent billiard
Diego F. M. Oliveira, Edson D. Leonel
Some dynamical properties for a dissipative time-dependent oval-shaped billiard are studied. The system is described in terms of a four-dimensional nonlinear mapping. Dissipation i…