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math-ph2026
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…
math-ph2025
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…
math-ph2024
Superintegrable families of magnetic monopoles with non-radial potential in curved background
Antonella Marchesiello, Daniel Reyes, Libor Å nobl
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…