17 citations · 21 across the 13 of their papers we have counts for
4 papers · 1 filter
Bifurcations of balanced configurations for the Newtonian -body problem in
Luca Asselle, Marco Fenucci, Alessandro Portaluri
For the gravitational -body problem, the simplest motions are provided by those rigid motions in which each body moves along a Keplerian orbit and the shape of the system is a c…
Morse theory for -balanced configurations in the Newtonian -body problem
Luca Asselle, Alessandro Portaluri
For the Newtonian (gravitational) -body problem in the Euclidean -dimensional space, the simplest possible solutions are provided by those rigid motions (homographic solution…
The Palais-Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications
Luca Asselle, Maciej Starostka
We show that the Hamiltonian action satisfies the Palais-Smale condition over a "mixed regularity" space of loops in cotangent bundles, namely the space of loops with regularity $H…
Normal forms for strong magnetic systems on surfaces: Trapping regions and rigidity of Zoll systems
Luca Asselle, Gabriele Benedetti
We prove a normal form for strong magnetic fields on a closed, oriented surface and use it to derive two dynamical results for the associated flow. First, we show the existence of…