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Convergent Normal Forms of Symmetric Dynamical Systems

G. Cicogna

solv-intarXiv:solv-int/9704003

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.

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