Mathematics – Dynamical Systems
Scientific paper
Feb 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...265..202s&link_type=abstract
Astrophysical Journal, Part 1, vol. 265, Feb. 1, 1983, p. 202-209.
Mathematics
Dynamical Systems
37
Astronomical Models, Disk Galaxies, Galactic Evolution, Galactic Rotation, Star Distribution, Star Formation, Dwarf Galaxies, Dynamic Models, Galactic Structure, Spiral Galaxies, Stochastic Processes, Time Lag
Scientific paper
The deterministic dynamical systems approach of Paper I is here generalized to the case of a disk galaxy with star-induced star formation. It is shown that the cases of a rigidly rotating axisymmetric and nonaxisymmetric, and a differentially rotating galaxy model can be solved explicitly. The results are compared with stochastic simulations. A wave of star formation, propagating outward from the central portion of an active region, is found. The velocity and properties of this star formation front are examined. A two-phase model with time delays is also presented, which can be used for modeling sequential star formation. In this case, critical initial gas and star fractions are presented. Finally, a brief discussion is presented of the stochastic generalization of the one-zone model for a two-phase galaxy with and without infall.
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