23 citations · 58 across the 9 of their papers we have counts for
15 papers
KAM theory for some dissipative systems
Renato Calleja, Alessandra Celletti, Rafael de la Llave
Dissipative systems play a very important role in several physical models, most notably in Celestial Mechanics, where the dissipation drives the motion of natural and artificial sa…
KAM estimates for the dissipative standard map
Renato Calleja, Alessandra Celletti, Rafael de la Llave
From the beginning of KAM theory, it was realized that its applicability to realistic problems depended on developing quantitative estimates on the sizes of the perturbations allow…
Resonances in the Earth's Space Environment
Alessandra Celletti, Catalin Gales, Christoph Lhotka
We study the presence of resonances in the region of space around the Earth. We consider a massless body (e.g, a dust particle or a small space debris) subject to different forces:…
Accurate modelling of the low-order secondary resonances in the spin-orbit problem
Ioannis Gkolias, Christos Efthymiopoulos, Alessandra Celletti +1
We provide an analytical approximation to the dynamics in each of the three most important low order secondary resonances (1:1, 2:1, and 3:1) bifurcating from the synchronous prima…
Whiskered KAM Tori of Conformally Symplectic Systems
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
We investigate the existence of whiskered tori in some dissipative systems, called \sl conformally symplectic \rm systems, having the property that they transform the symplectic fo…
Existence of whiskered KAM tori of conformally symplectic systems
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
We study the existence of whiskered tori in a family of conformally symplectic maps depending on parameters . Whiskered tori are tori on which the motion is a rotation, bu…