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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…
math.DS2022
Nonconmutative coboundary equations over integrable systems
Rafael de la Llave, Maria Saprykina
\def\G{\mathcal G} \def\M{\mathcal M} \def\cE{\mathcal E} We prove an analog of Livšic theorem for real-analytic families of cocycles over an integrable system with values in a Ban…
math.DS2022
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps
Xiaolong He, Rafael de la Llave
It is well known for experts that resonances in nonlinear systems lead to new invariant objects that lead to new behaviors. The goal of this paper is to study the invariant sets ge…