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Birkhoff's normalization
Authors:André Deprit  Jacques Henrard  J F Price  Arnold Rom
Institution:(1) Mathematics Research Laboratory, Boeing Scientific Research Laboratories, Seattle, Wash., USA
Abstract:Birkhoff's normalizing canonical transformation at an equilibrium of elliptic type with no internal resonance can be built explicitly and recursively, without partial inversions or substitutions, by means of Lie transforms.Invariant sections and ordinary families of periodic orbits for truncated normalized systems are analyzed in detail.
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