On the convergence of normalizing transformations in the presence of symmetries
classification
chao-dyn
nlin.CDnlin.SIsolv-int
keywords
convergencepresencesymmetriesanalyticconditionsconstantsdynamicalensure
read the original 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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