Formal integrals for an autonomous Hamiltonian system near an equilibrium point

@article{Giorgilli1978FormalIF,
  title={Formal integrals for an autonomous Hamiltonian system near an equilibrium point},
  author={A. Giorgilli and L. Galgani},
  journal={Celestial mechanics},
  year={1978},
  volume={17},
  pages={267-280}
}
  • A. Giorgilli, L. Galgani
  • Published 1978
  • Mathematics
  • Celestial mechanics
  • In this paper we give a new method to construct formal integrals for an autonomous Hamiltonian system near an equilibrium point. Our construction is reminiscent of the algorithms introduced by Hori and Deprit; we show however how it presents itself quite naturally if one follows the line of attack of Whittaker, Cherry, and Contopoulos. 
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