6 citations · 6 across the 4 of their papers we have counts for
6 papers
An angular-momentum preserving dissipative model for the point-mass N -body problem
Matheus Lazarotto, Clodoaldo Ragazzo
A simple mathematical model emulating energy dissipation due to tidal effects is proposed. In this model, forces acting between masses remove energy but preserve the total angular…
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…
Shearless bifurcations for two isochronous resonant perturbations
Bruno B. Leal, Matheus J. Lazarotto, Michele Mugnaine +3
In nontwist systems, primary shearless curves act as barriers to chaotic transport. Surprisingly, the onset of secondary shearless curves has been reported in a few twist systems.…
Benchmark: Tao's symplectic integration method
Matheus Lazarotto, Iberê Caldas, Yves Elskens
A benchmark test was conducted for a new symplectic integration method originally developed by Molei Tao. The method raises interest due to its explicit evolution equation, with ap…
Island myriads in periodic potentials
Matheus Lazarotto, Iberê Caldas, Yves Elskens
A phenomenon of emergence of stability islands in phase-space is reported for two periodic potentials with tiling symmetries, one square and the other hexagonal, inspired by bidime…
Diffusion transitions in a 2D periodic lattice
Matheus J. Lazarotto, Iberê L. Caldas, Yves Elskens
Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensi…