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- W4287393880 abstract "We propose a perturbation algorithm for Hamiltonian systems on a Lie algebra $mathbb{V}$, so that it can be applied to non-canonical Hamiltonian systems. Given a Hamiltonian system that preserves a subalgebra $mathbb{B}$ of $mathbb{V}$, when we add a perturbation the subalgebra $mathbb{B}$ will no longer be preserved. We show how to transform the perturbed dynamical system to preserve $mathbb{B}$ up to terms quadratic in the perturbation. We apply this method to study the dynamics of a non-autonomous symmetric Rigid Body. In this example our algebraic transform plays the role of Iterative Lemma in the proof of a KAM-like statement." @default.
- W4287393880 created "2022-07-25" @default.
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- W4287393880 date "2021-01-05" @default.
- W4287393880 modified "2023-10-16" @default.
- W4287393880 title "Hamiltonian Perturbation Theory on a Lie Algebra. Application to a non-autonomous Symmetric Top" @default.
- W4287393880 doi "https://doi.org/10.48550/arxiv.2101.01432" @default.
- W4287393880 hasPublicationYear "2021" @default.
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