Irregular periodic orbits

Details Irregular periodic orbits Irregular periodic orbits

Dec 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..39..345b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 39, no. 4, 1986, p. 345-364.

Mathematics

5

Barred Galaxies, Orbital Mechanics, Stochastic Processes, Branching (Mathematics), Galactic Rotation, Harmonic Oscillators

Scientific paper

The peculiarities of irregular periodic orbits (i.e., orbits belonging to families not connected with the main families or their bifurcations) of Hamiltonian systems of two degrees of freedom are studied. Families of irregular periodic orbits appear in triplets which are either closed or extend to infinity. If these triplets form an infinite sequence, they surround an escape region. It seems probable that in general regions covered by irregular families are of high degree of stochasticity.

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