Hamiltonian Control of Magnetic Field Lines: Computer Assisted Results Proving the Existence of KAM Barriers

DOI10.3934/JCD.2022002zbMath1510.37096arXiv2101.07785WikidataQ114022582 ScholiaQ114022582MaRDI QIDQ6358608

Ugo Locatelli, Lorenzo Valvo

Publication date: 19 January 2021

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in control (37N35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Simulation of dynamical systems (37M05) Dynamical systems in classical and celestial mechanics (37N05) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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