Flow map parameterization methods for invariant tori in Hamiltonian systems
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Publication:2038123
DOI10.1016/j.cnsns.2021.105859zbMath1473.37100arXiv2101.07665OpenAlexW3124331571WikidataQ114196528 ScholiaQ114196528MaRDI QIDQ2038123
Josep Maria Mondelo González, Àlex Haro
Publication date: 9 July 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.07665
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) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Nearly integrable Hamiltonian systems, KAM theory (70H08) Computational methods for invariant manifolds of dynamical systems (37M21)
Related Items (6)
A simple proof of Gevrey estimates for expansions of quasi-periodic orbits: dissipative models and lower-dimensional tori ⋮ Fully numerical computation of heteroclinic connection families in the spatial three-body problem ⋮ Semianalytical Computation of Heteroclinic Connections Between Center Manifolds with the Parameterization Method ⋮ Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems ⋮ Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction ⋮ Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems
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