1 citations · 1 across the 10 of their papers we have counts for
11 papers
Adiabatic confinement and escape in an open billiard
Matheus Rolim Sales, Leonardo Costa de Souza, Ricardo Luiz Viana +2
We introduce a stationary, field-free billiard that reproduces the adiabatic confinement mechanism of a magnetic mirror through boundary geometry alone. Rapid transverse reflection…
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…
Shrinking shrimp-shaped domains and multistability in the dissipative asymmetric kicked rotor map
Matheus Rolim Sales, Michele Mugnaine, Edson Denis Leonel +2
An interesting feature in dissipative nonlinear systems is the emergence of characteristic domains in parameter space that exhibit periodic temporal evolution, known as shrimp-shap…
An investigation of escape and scaling properties of a billiard system
Matheus Rolim Sales, Daniel Borin, Diogo Ricardo da Costa +2
We investigate some statistical properties of escaping particles in a billiard system whose boundary is described by two control parameters with a hole on its boundary. Initially,…
Ratchet current and scaling properties in a nontwist mapping
Matheus Rolim Sales, Daniel Borin, Leonardo Costa de Souza +4
We investigate the transport of particles in the chaotic component of phase space for a two-dimensional, area-preserving nontwist map. The survival probability for particles within…
Scaling properties of the action in the Riemann-Liouville fractional standard map
J. A. Mendez-Bermudez, R. Aguilar-Sanchez, J. M. Sigarreta +1
The Riemann-Liouville fractional standard map (RL-fSM) is a two-dimensional nonlinear map with memory given in action-angle variables . The RL-fSM is parameterized by an…
Exploring the Fascinating World of Bouncing Balls: Adventures in Two Time-Dependent Billiards
Edson Denis Leonel
This paper explores two instances where dissipation plays a crucial role in curbing the unbounded energy growth of particles in time-dependent billiards. The first example involves…