Are higher order resonances really interesting

Details Are higher order resonances really interesting Are higher order resonances really interesting

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16..421s&link_type=abstract

Celestial Mechanics, vol. 16, Dec. 1977, p. 421-440.

Mathematics

6

Hamiltonian Functions, Orbital Mechanics, Resonance, Topology, Degrees Of Freedom, Elliptical Orbits, Energy Transfer, Transformations (Mathematics)

Scientific paper

It is shown that higher order resonances of equilibria of conservative
Hamiltonian systems do not give rise to an exchange of energies between
the different degrees of freedom for most of the initial values on a
certain long time-scale. The topology of these resonances is analyzed,
using Bott-Morse theory.

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