7 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…
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…
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…
Isochronous bifurcations dependence on the driving mode phase shift in two-harmonic standard maps
Michele Mugnaine, Ricardo L. Viana, Alfredo M. Ozorio de Almeida +2
Some dynamical properties of nonlinear coupled systems can be described by the two-harmonic standard map, a two-dimensional area-preserving system with two parameters, where two di…
Isochronous islands in the two-harmonic standard map
Michele Mugnaine, Bruno B. Leal, Alfredo M. Ozorio de Almeida +2
Isochronous islands are regular solutions related to different chains of elliptic points but with the same winding number. These isochronous islands emerge in phase space as a resp…
Hamiltonian chaos for one particle with two waves: Self-consistent dynamics
Matheus Jean Lazarotto, Iberê Luiz Caldas, Yves Elskens
A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the waves dynamics. We focus on the conf…