Convergent Normal Forms of Symmetric Dynamical Systems

Details Convergent Normal Forms of Symmetric Dynamical Systems Convergent Normal Forms of Symmetric Dynamical Systems

1997-04-02

arxiv.org/abs/solv-int/9704003v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pag., Plain TeX

Scientific paper

10.1088/0305-4470/30/17/013

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 Poincar\'e-Dulac normal
form.

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