31 citations · 161 across the 19 of their papers we have counts for
9 papers · 1 filter
Superintegrable 2D systems in magnetic fields with a parabolic type integral
Tatiana Ekelchik, Antonella Marchesiello
We consider the problem on the existence of two dimensional superintegrable systems in the presence of a magnetic field in the two dimensional Euclidean space. We assume the existe…
Superintegrable families of magnetic monopoles with non-radial potential in curved background
Antonella Marchesiello, Daniel Reyes, Libor Šnobl
We review some known results on the superintegrability of monopole systems in the three-dimensional (3D) Euclidean space and in the 3D generalized Taub-NUT spaces. We show that the…
Bifurcation sequences in the secular 3D planetary 3-Body problem: a geometric approach
Rita Mastroianni, Antonella Marchesiello, Christos Efthymiopoulos +1
We implement the geometric method proposed in ([9], [3], [16]) to analytically predict the sequence of bifurcations leading to a change of stability and/or the appearance of new pe…
New classes of quadratically integrable systems with velocity dependent potentials: non-subgroup type cases
Md Fazlul Hoque, Ondřej Kubů, Antonella Marchesiello +1
We study quadratic integrability of systems with velocity dependent potentials in three-dimensional Euclidean space. Unlike in the case with only scalar potential, quadratic integr…
Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates
Antonella Marchesiello, Libor Šnobl
We consider superintegrability in classical mechanics in the presence of magnetic fields. We focus on three-dimensional systems which are separable in Cartesian coordinates. We con…
An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
Antonella Marchesiello, Libor Šnobl
We construct an additional independent integral of motion for a class of three dimensional minimally superintegrable systems with constant magnetic field. This class was introduced…
Three-dimensional superintegrable systems in a static electromagnetic field
Antonella Marchesiello, Libor Snobl, Pavel Winternitz
We consider a charged particle moving in a static electromagnetic field described by the vector potential and the electrostatic potential . We study the…
Third-order superintegrable systems with potentials satisfying nonlinear equations
A. Marchesiello, S. Post, L. Šnobl
The conditions for superintegrable systems in two-dimensional Euclidean space admitting separation of variables in an orthogonal coordinate system and a functionally independent th…
Weak dependence for a class of local functionals of Markov chains on
Carlo Boldrighini, Antonella Marchesiello, Chiara Saffirio
In some papers on infinite Markov chains in , and notably in the work of R.A. Minlos and collaborators, one can prove the existence of a spectral gap for a suitable s…