L. Asselle

activity

20142026

most citedThe Lusternik-Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles

21 citations · 88 across the 25 of their papers we have counts for

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Showing 2020 · math.DSShow all

3 papers · 2 filters

math.DS2020

Bifurcations of balanced configurations for the Newtonian $n$ -body problem in $R^{4}$

Luca Asselle, Marco Fenucci, Alessandro Portaluri

For the gravitational $n$ -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…

math.DS2020

Morse theory for $S$ -balanced configurations in the Newtonian $n$ -body problem

Luca Asselle, Alessandro Portaluri

For the Newtonian (gravitational) $n$ -body problem in the Euclidean $d$ -dimensional space, the simplest possible solutions are provided by those rigid motions (homographic solution…

math.DS2020

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…

Bifurcations of balanced configurations for the Newtonian n-body problem in R4

Morse theory for S-balanced configurations in the Newtonian n-body problem

Normal forms for strong magnetic systems on surfaces: Trapping regions and rigidity of Zoll systems

Bifurcations of balanced configurations for the Newtonian $n$ -body problem in $R^{4}$

Morse theory for $S$ -balanced configurations in the Newtonian $n$ -body problem