Analisi Matematica Quasiconvexity of the Hamiltonian for non Harmonic or non Keplerian central potentials Alessandra Fuse'
19-07-2017 - 15:00
Largo San Leonardo Murialdo,1 - Pal.C - Aula 311 In this talk we study the Hamiltonian of the planar central motion
with a real analytic potential. We prove that the corresponding Hamiltonian, when written in action angle variables, is almost everywhere quasiconvex, the only
exceptions being the Keplerian and the Harmonic potentials. We underline
that this two potentials are the ones discussed by Bertrand’s theorem.
We also study the spatial central motion problem and deduce a Nekhoroshev
type stability result for the perturbed system.
This is a joint work with D. Bambusi and M. Sansottera.
org: PROCESI Michela
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