Presents a simplified version of the Hamiltonian normal form with poles at resonance loci, extracted from prior works, for potentially superior approximations compared to Birkhoff normal form.
Poincaré,Les méthodes nouvelles de la mécanique céleste, Gauthier-Villars, 1892-1899, 3 vol
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The Hamiltonian Normal Form
Presents a simplified version of the Hamiltonian normal form with poles at resonance loci, extracted from prior works, for potentially superior approximations compared to Birkhoff normal form.