4 papers
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,…
Fractional dynamics and recurrence analysis in cancer model
Enrique C. Gabrick, Matheus R. Sales, Elaheh Sayari +8
In this work, we analyze the effects of fractional derivatives in the chaotic dynamics of a cancer model. We begin by studying the dynamics of a standard model, {\it i.e.}, with in…