Bifurcations, gaps, and stochasticity in barred galaxies

Details Bifurcations, gaps, and stochasticity in barred galaxies Bifurcations, gaps, and stochasticity in barred galaxies

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...275..511c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 275, Dec. 15, 1983, p. 511-528.

Mathematics

20

Barred Galaxies, Galactic Rotation, Stellar Motions, Branching (Mathematics), Orbital Mechanics, Stochastic Processes

Scientific paper

Contopoulos (1983) has studied the onset of a large degree of stochasticity in the motions of stars in galaxies. The present investigation is concerned with a continuation of this study. Attention is given to the role of the various resonances which produce bifurcations, or gaps, in barred galaxies as the amplitude of the bar is varied, and, more generally, as the bar model is varied. It is found that the appearance of one or of a finite number of gaps is not sufficient to produce stochasticity. Models with gaps which are completely integrable are shown. There are also models of integrable systems with an infinity of bifurcations. However, in general, the appearance of an infinity of gaps and bifurcations provides stochasticity if the amplitude of the bar is large enough so that the various resonances can interact.

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