5 papers
On the dynamical and statistical properties of a quartic mean-field Hamiltonian model
Matheus Rolim Sales, Edson Denis Leonel, Chris G. Antonopoulos
Mean-field systems provide a natural framework in which collective effects persist as the number of degrees of freedom N increases, raising fundamental questions about the emergenc…
Survival probability of particles inside the Lemon Billiard
Daniel Borin, Edson Denis Leonel, Diego Fregolent Mendes de Oliveira
We study the escape of particles in the lemon billiard, a two-parameter family of billiard systems defined by the intersection of two identical circles. Using numerical simulations…
From Hyperbolic to Non-Hyperbolic Open Billiards: An Entropy and Scaling Law Approach
P. Haerter, A. F. Bosio, E. D. Leonel +2
We investigate the escape dynamics in an open circular billiard under the influence of a uniform gravitational field. The system properties are investigated as a function of the pa…
Escape and transport in chaotic motion of charged particles in a magnetized plasma under the influence of two and three modes of drift waves
P. Haerter, E. D. Leonel, R. L. Viana
This study investigates how two- and three-wave configurations govern particle escape and transport in tokamak edge plasmas. Using a Hamiltonian model derived from drift-wave turbu…
pynamicalsys: A Python toolkit for the analysis of dynamical systems
Matheus Rolim Sales, Leonardo Costa de Souza, Daniel Borin +6
Since Lorenz's seminal work on a simplified weather model, the numerical analysis of nonlinear dynamical systems has become one of the main subjects of research in physics. Despite…