Abstract
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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Giorgilli, A., Galgani, L. Formal integrals for an autonomous Hamiltonian system near an equilibrium point. Celestial Mechanics 17, 267–280 (1978). https://doi.org/10.1007/BF01232832
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DOI: https://doi.org/10.1007/BF01232832