31 citations · 161 across the 19 of their papers we have counts for
19 papers
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…
Integrable systems in magnetic fields: the generalized parabolic cylindrical case
O. Kubů, A. Marchesiello, L. Šnobl
This article is a contribution to the classification of quadratically integrable systems with vector potentials whose integrals are of the nonstandard, nonseparable type. We focus…
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…
New classes of quadratically integrable systems in magnetic fields: the generalized cylindrical and spherical cases
O. Kubů, A. Marchesiello, L. Šnobl
We study integrable and superintegrable systems with magnetic field possessing quadratic integrals of motion on the three-dimensional Euclidean space. In contrast with the case wit…
On the detuned 2:4 resonance
Heinz Hanssmann, Antonella Marchesiello, Giuseppe Pucacco
We consider families of Hamiltonian systems in two degrees of freedom with an equilibrium in 1:2 resonance. Under detuning, this "Fermi resonance" typically leads to normal modes l…
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…
Bifurcations and Monodromy of the Axially Symmetric 1:1:-2 Resonance
Konstantinos Efstathiou, Heinz Hanßmann, Antonella Marchesiello
We consider integrable Hamiltonian systems in three degrees of freedom near an elliptic equilibrium in 1:1:-2 resonance. The integrability originates from averaging along the perio…
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…
Bifurcation sequences in the symmetric 1:1 Hamiltonian resonance
Antonella Marchesiello, Giuseppe Pucacco
We present a general review of the bifurcation sequences of periodic orbits in general position of a family of resonant Hamiltonian normal forms with nearly equal unperturbed frequ…
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…
An energy-momentum map for the time-reversal symmetric 1:1 resonance with Z_2 X Z_2 symmetry
Giuseppe Pucacco, Antonella Marchesiello
We present a general analysis of the bifurcation sequences of periodic orbits in general position of a family of reversible 1:1 resonant Hamiltonian normal forms invariant under $\…
Equivariant singularity analysis of the 2:2 resonance
Antonella Marchesiello, Giuseppe Pucacco
We present a general analysis of the bifurcation sequences of 2:2 resonant reversible Hamiltonian systems invariant under spatial symmetry. The rich structure of t…
The symmetric 1:2 resonance
Antonella Marchesiello, Giuseppe Pucacco
This paper illustrates the application of Lie transform normal-form theory to the construction of the 1:2 resonant normal form corresponding to a wide class of natural Hamiltonian…
Resonances and bifurcations in systems with elliptical equipotentials
Antonella Marchesiello, Giuseppe Pucacco
We present a general analysis of the orbit structure of 2D potentials with self-similar elliptical equipotentials by applying the method of Lie transform normalization. We study th…
Relevance of the 1:1 resonance in galactic dynamics
Antonella Marchesiello, Giuseppe Pucacco
This paper aims to illustrate the applications of resonant Hamiltonian normal forms to some problems of galactic dynamics. We detail the construction of the 1:1 resonant normal for…