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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…