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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

Convergent Normal Forms of Symmetric Dynamical Systems

Authors	G. Cicogna
Categories	solv-int nlin.SI
ArXiv ID	solv-int/9704003
URL	https://arxiv.org/abs/solv-int/9704003
DOI	10.1088/0305-4470/30/17/013

Abstract

It is shown that the presence of Lie-point-symmetries of (non-Hamiltonian) dynamical systems can ensure the convergence of the coordinate transformations which take the dynamical sytem (or vector field) into Poincar\'e-Dulac normal form.

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    "abstract": "It is shown that the presence of Lie-point-symmetries of (non-Hamiltonian)\ndynamical systems can ensure the convergence of the coordinate transformations\nwhich take the dynamical sytem (or vector field) into Poincar\\\u0027e-Dulac normal\nform.",
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    "doi": "10.1088/0305-4470/30/17/013",
    "title": "Convergent Normal Forms of Symmetric Dynamical Systems",
    "url": "https://arxiv.org/abs/solv-int/9704003"
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