3 papers
math.DS2021
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…
math.DS2020
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…
math.DS2020
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…