1 citations · 1 across the 5 of their papers we have counts for
8 papers
A phenomenological description of critical slowing down at period-doubling bifurcations
Edson D. Leonel, João P. C. Ferreira, Diego F. M. Oliveira
We present a phenomenological description of the critical slowing down associated with period-doubling bifurcations in discrete dynamical systems. Starting from a local Taylor expa…
Convergence Dynamics and Scaling Laws in the Dissipative Relativistic Kicked Rotator
Daniel Borin, Danilo S. Rando, Edson D. Leonel +1
We investigate the convergence dynamics of this system near period-doubling bifurcations by combining analytical derivations and large-scale numerical simulations. At the bifurcati…
Scaling invariance for the diffusion coefficient in a billiard system
Anne Kétri P. da Fonseca, Diego F. M. Oliveira, Edson D. Leonel
We investigated the unbounded diffusion observed in a time-dependent oval-shaped billiard and its suppression owing to inelastic collisions with the boundary. The main focus is on…
Symmetry breaking in time-dependent billiards
Anne Kétri Pasquinelli da Fonseca, Edson Denis Leonel
We investigate symmetry breaking in a time-dependent billiard that undergoes a continuous phase transition when dissipation is introduced. The system presents unlimited velocity, a…
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…