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math.DS2022★ 4 cited
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…
math.DS2022
Accurate computations up to break-down of quasi-periodic attractors in the dissipative spin-orbit problem
Renato Calleja, Alessandra Celletti, Joan Gimeno +1
We consider a Celestial Mechanics model: the spin-orbit problem with a dissipative tidal torque, which is a singular perturbation of a conservative system. The goal of this paper i…