4 papers
Recurrence in two degrees of freedom Hamiltonian flows
Matheus Rolim Sales, Leonardo Costa de Souza, Iberê Luiz Caldas +2
Stickiness in mixed Hamiltonian systems causes chaotic trajectories to remain temporarily trapped near regular structures, making it difficult to distinguish regular, weakly chaoti…
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…
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…