Hamiltonian Perturbation Theory on a Lie Algebra. Application to a non-autonomous Symmetric Top
DOI10.5890/DNC.2021.09.001zbMath1492.37061arXiv2101.01432OpenAlexW3162203679WikidataQ114012864 ScholiaQ114012864MaRDI QIDQ5087585
Publication date: 1 July 2022
Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.01432
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Motion of a rigid body with a fixed point (70E17) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)
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