3 papers
nlin.CD2026
Critical parameters of an oval billiard with an elliptical component
Anne Kétri P. da Fonseca, Joelson D. V. Hermes, Edson D. Leonel
We explore the critical parameters responsible for the transition from integrability to chaos in a family of billiards combining elliptical and oval deformations. Unlike standard o…
nlin.CD2024
Singular fractal dimension at periodicity cascades in parameters spaces
Carlos E. P. Abreu, Joelson D. V. Hermes, Diogo Ricardo da Costa +2
In the parameter spaces of nonlinear dynamical systems, we investigate the boundaries between periodicity and chaos and unveil the existence of fractal sets characterized by a sing…
nlin.CD2020
Characteristic times for the Fermi-Ulam Model
Joelson Dayvison Veloso Hermes, Edson Denis Leonel
The mean Poincarré recurrence time as well as the Lyapunov time are measured for the Fermi-Ulam model. We confirm the mean recurrence time is dependent on the size of the window ch…