Convergent Normal Forms of Symmetric Dynamical Systems

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 Poincaré-Dulac normal form.

arXiv comment11 pag., Plain TeX

Cited by in corpus (1)

• Normal Forms, symmetry, and linearization of dynamical systems