57 citations · 319 across the 26 of their papers we have counts for
3 papers · 2 filters
Improved convergence estimates for the Schröder-Siegel problem
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
We reconsider the Schröder-Siegel problem of conjugating an analytic map in in the neighborhood of a fixed point to its linear part, extending it to the case of dimens…
Rigorous estimates for the relegation algorithm
Marco Sansottera, Marta Ceccaroni
We revisit the relegation algorithm by Deprit et al. (Celest. Mech. Dyn. Astron. 79:157-182, 2001) in the light of the rigorous Nekhoroshev's like theory. This relatively recent al…
On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori
Tiziano Penati, Marco Sansottera, Veronica Danesi
We reconsider the classical problem of the continuation of degenerate periodic orbits in Hamiltonian systems. In particular we focus on periodic orbits that arise from the breaking…