English

Convergent Normal Forms of Symmetric Dynamical Systems

solv-int 2009-10-30 v1 Exactly Solvable and Integrable 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 Poincar\'e-Dulac normal form.

Keywords

Cite

@article{arxiv.solv-int/9704003,
  title  = {Convergent Normal Forms of Symmetric Dynamical Systems},
  author = {G. Cicogna},
  journal= {arXiv preprint arXiv:solv-int/9704003},
  year   = {2009}
}

Comments

11 pag., Plain TeX

R2 v1 2026-07-22T20:08:15.609Z