2 citations · 3 across the 4 of their papers we have counts for
10 papers
From the Lagrange polygon to the figure eight I: Numerical evidence extending a conjecture of Marchal
Renato Calleja, Carlos García-Azpeitia, Jean-Philippe Lessard +1
The present work studies the continuation class of the regular -gon solution of the -body problem. For odd numbers of bodies between and we apply one paramet…
Corrigendum and Addendum to "Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation" [arXiv:1712.05476]
Adrian P. Bustamante, Renato C. Calleja
We correct some tables and figures in [A.P. Bustamante and R.C. Calleja, Physica D: Nonlinear Phenomena, 395 (2019), pp. 15-23, arXiv:1712.05476]. We also report on the new computa…
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…
Non-twist tori in conformally symplectic systems
Renato Calleja, Marta Canadell, Alex Haro
Dissipative mechanical systems on the torus with a friction that is proportional to the velocity are modeled by conformally symplectic maps on the annulus, which are maps that tran…
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…
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…