Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter
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Publication:5860530
DOI10.1088/1361-6544/ac2c91OpenAlexW3213900829WikidataQ114096636 ScholiaQ114096636MaRDI QIDQ5860530
Publication date: 19 November 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ac2c91
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08)
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Persistence of multiscale degenerate invariant tori for reversible systems with multiscale degenerate equilibrium points, Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations, A formal KAM theorem for Hamiltonian systems and its application to hyperbolic lower dimensional invariant tori
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