37 citations · 138 across the 23 of their papers we have counts for
4 papers · 1 filter
Rare events for low energy domain in bouncing ball model
Edson D. Leonel, Diego F. M. Oliveira
The probability distribution for multiple collisions observed in the chaotic low energy domain in the bouncing ball model is shown to be scaling invariant concerning the control pa…
Discussing a transition from bounded to unbounded energy in a time-dependent billiard
Anne Kétri P. da Fonseca, Felipe Augusto O. Silveira, Célia M. Kuwana +2
We revisit a time-dependent, oval-shaped billiard to investigate a phase transition from bounded to unbounded energy growth. In the static case, the phase space exhibits a mixed st…
Scaling invariance for the diffusion coefficient in a dissipative standard mapping
Edson D. Leonel, Celia M. Kuwana, Diego F. M. Oliveira
The unbounded diffusion observed for the standard mapping in a regime of high nonlinearity is suppressed by dissipation due to the violation of Liouville's theorem. The diffusion c…
Scaling Laws and Convergence Dynamics in a Dissipative Kicked Rotator
Danilo S. Rando, Edson D. Leonel, Diego F. M. Oliveira
The kicked rotator model is an essential paradigm in nonlinear dynamics, helping us understand the emergence of chaos and bifurcations in dynamical systems. In this study, we analy…