7 citations · 15 across the 7 of their papers we have counts for
8 papers
The dynamics of the spin-spin problem in Celestial Mechanics
Adrián P. Bustamante, Alessandra Celletti, Christoph Lhotka
This work investigates different models of rotational dynamics of two rigid bodies with the shape of an ellipsoid, moving under their gravitational influence. The focus of this stu…
Computation of Domains of analyticity of lower dimensional tori in a weakly dissipative Froeschlé map
Adrián P. Bustamante
We consider a Froeschlé map and we add a weak dissipation of the form , where is the parameter of perturbation. We compute formal e…
A simple proof of Gevrey estimates for expansions of quasi-periodic orbits: dissipative models and lower dimensional tori
Adrián P. Bustamante, Rafael de la Llave
We consider standard-like/Froeschlé maps with a dissipation and nonlinear perturbation. That is \[ T_\varepsilon(p,q) = \left( (1 - γ\varepsilon^3) p + μ+ \varepsilon V'(q), q + (1…
Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps
Adrian P. Bustamante, Alessandra Celletti, Christoph Lhotka
We study the breakdown of rotational invariant tori in 2D and 4D standard maps by implementing three different methods. First, we analyze the domains of analyticity of a torus with…
Numerical computation of critical surfaces for the breakup of invariant tori in Hamiltonian systems
Adrian P. Bustamante, Cristel Chandre
We compute the critical surface for the existence of invariant tori of a family of Hamiltonian systems with two and three degrees of freedom. We use and compare two methods to comp…
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…
Gevrey estimates for asymptotic expansions of tori in weakly dissipative systems
Adrian P. Bustamante, Rafael de la Llave
We consider a singular perturbation for a family of analytic symplectic maps of the annulus possessing a KAM torus. The perturbation introduces dissipation and contains an adjustab…
Computation of Domains of Analyticity for the dissipative standard map in the limit of small dissipation
Adrian P. Bustamante, Renato C. Calleja
Conformally symplectic systems include mechanical systems with a friction proportional to the velocity. Geometrically, these systems transform a symplectic form into a multiple of…