4 citations · 4 across the 6 of their papers we have counts for
13 papers
The Arnold conjecture in and the Conley index
L. Asselle, M. Izydorek, M. Starostka
In this paper we give an alternative, purely Conley index based proof of the Arnold conjecture in asserting that a Hamiltonian diffeomorphism of $\mathbb C\m…
Spectral stability, spectral flow and circular relative equilibria for the Newtonian -body problem
Luca Asselle, Alessandro Portaluri, Li Wu
For the Newtonian (gravitational) -body problem in the Euclidean -dimensional space, , the simplest possible periodic solutions are provided by circular relative equi…
Non-resonant circles for strong magnetic fields on surfaces
L. Asselle, G. Benedetti
We study non-resonant circles for strong magnetic fields on a closed, connected, oriented surface and show how these can be used to prove the existence of trapping regions and of p…
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…