A note on resonance in regular variables and averaging

Details A note on resonance in regular variables and averaging A note on resonance in regular variables and averaging

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..453f&link_type=abstract

(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab

Mathematics

4

Celestial Mechanics, Hamiltonian Functions, Perturbation Theory, Resonance, Orbits, Topology, Transformations (Mathematics)

Scientific paper

A point relative to the application of the method of Hori to resonant systems is considered: For systems having one degree of freedom the topology of the phase plane of the auxiliary Hori's system is unaltered in the process of construction of a formal solution. The transformed Hamiltonian may not lead to singular points other than those included in the auxiliary Hori's Hamiltonian.

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