The periodic Gyldén-type problem in astrophysics

Details The periodic Gyldén-type problem in astrophysics The periodic Gyldén-type problem in astrophysics

Mar 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..895..163s&link_type=abstract

FIFTY YEARS OF ROMANIAN ASTROPHYSICS. AIP Conference Proceedings, Volume 895, pp. 163-170 (2007).

Astronomy and Astrophysics

Astrophysics

Celestial Mechanics, Relativity And Gravitation

Scientific paper

We present some analytical and numerical results for the resonant Gyldén-type problem and identify some astrophysical situations for which this model can be useful. For small-amplitude periodic variation, we study the behavior of the system in the neighborhood of resonances. Considering the simplest case of the variation, we perform some numerical experiments. The phase portraits are very complex: a mixture of oscillation zones, circulation zones and chaotic zones.

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