31 citations · 91 across the 17 of their papers we have counts for
11 papers · 1 filter
Recurrence time entropy and weak chaos in 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…
Hierarchical fragmentation of regular islands in a discontinuous nontwist map
Matheus Rolim Sales, Michele Mugnaine, Leonardo Costa de Souza +3
The destruction of regular regions in two-dimensional, area-preserving maps is traditionally described in terms of the breakup of invariant curves and the persistence of transport…
Shearless barriers in the conservative Ikeda map
Rodrigo Simile Baroni, Ricardo Egydio de Carvalho, José Danilo Szezech Junior +1
We investigate the dynamics of the Ikeda map in the conservative limit, where it is represented as a two-dimensional area-preserving map governed by two control parameters, and…
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…
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…
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…