6 papers · 1 filter
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…
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…
Characterizing and quantifying weak chaos in fractional dynamics
Daniel Borin, José Danilo Szezech, Matheus Rolim Sales
A particularly intriguing and unique feature of fractional dynamical systems is the cascade of bifurcations type trajectories (CBTT). We examine the CBTTs in a generalized version…
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…
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…
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,…