On the convergence of normalizing transformations in the presence of symmetries

G. Cicogna

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arXiv · chao-dyn/9501026

On the convergence of normalizing transformations in the presence of symmetries

G. Cicogna

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Abstract

It is shown that, under suitable conditions, involving in particular the existence of analytic constants of motion, the presence of Lie point symmetries can ensure the convergence of the transformation taking a vector field (or dynamical system) into normal form.

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G. Cicogna. 1995-02-02. On the convergence of normalizing transformations in the presence of symmetries. https://arxiv.org/abs/chao-dyn/9501026

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