On the convergence of normalizing transformations in the presence of symmetries

Details On the convergence of normalizing transformations in the presence of symmetries On the convergence of normalizing transformations in the presence of symmetries

1995-02-02

arxiv.org/abs/chao-dyn/9501026v1

Nonlinear Sciences

Chaotic Dynamics

14 pag, Plain TeX

Scientific paper

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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