Adrián P. Bustamante

collaborators

2 papers

math.DS2024

Computation of Domains of analyticity of lower dimensional tori in a weakly dissipative Froeschlé map

We consider a Froeschlé map and we add a weak dissipation of the form $λ (ε) = 1 - ε^{3}$ , where $ε$ is the parameter of perturbation. We compute formal e…

math.DS2023

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…