27 citations · 44 across the 18 of their papers we have counts for
5 papers · 1 filter
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…
Non-autonomous standard nontwist map
Marcos V. de Moraes, Iberê L. Caldas, Yves Elskens
Area-preserving nontwist maps locally violate the twist condition, giving rise to shearless curves. Nontwist systems appear in different physical contexts, such as plasma physics,…
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…