On the convergence of normalizing transformations in the presence of symmetries

1995/01/31 by Cicogna, G.
#Chaotic Dynamics (nlin.CD) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.chao-dyn/9501026

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.

Related

• On convergence of normal form transformations
• Stability and Rate of Convergence of the Steiner Symmetrization
• Dynamical Systems Accepting the Normal Shift
• The equivalence problem in analytic dynamics for 1-resonance
• Symmetries and linearization of ordinary difference equations