2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DS2023
Braids and linked periodic orbits of disc homeomorphisms
Xiang Liu
This paper concerns on linked periodic orbits of orientation-preserving homeomorphisms of the -disc in the sense of Gambaudo. We interpret the linking of periodic orbits by usin…
math.DS2023★ 2 cited
Quantitative KAM theory, with an application to the three-body problem
Gabriella Pinzari, Xiang Liu
Based on quantitative ``{\sc kam} theory'', we state and prove two theorems about the continuation of maximal and whiskered quasi--periodic motions to slightly perturbed systems ex…
math.DS2022
Perturbation theory and canonical coordinates in celestial mechanics
Gabriella Pinzari
KAM theory owes most of its success to its initial motivation: the application to problems of celestial mechanics. The masterly application was offered by V.I.Arnold in the 60s who…