Computer Science – Numerical Analysis
Scientific paper
Jun 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990pasj...42..387l&link_type=abstract
Astronomical Society of Japan, Publications (ISSN 0004-6264), vol. 42, no. 3, 1990, p. 387-404.
Computer Science
Numerical Analysis
3
Disk Galaxies, Halos, Interstellar Matter, Nonlinear Systems, Time Lag, Astronomical Models, Numerical Analysis, Roots Of Equations, Interstellar Medium, Nonlinear Phenomena, Time-Delay
Scientific paper
We simplify the interchange processes of the interstellar medium by employing a set of model reaction-equations describing phase changes among the cold, warm, and hot components in the galactic disk, and the disk-halo connection with an escaping-infalling time-delay. There are three kinds of stationary states in a connected disk-halo system. The linear stabilities are analyzed. Numerical solutions of the equations show that the time-delayed term has significant effects on the evolution of the interstellar medium. If the rate of mass circulation between the galactic disk and the halo is high, the interstellar medium promptly transforms into a cold phase which is called the coagulation state. When the circulation rate is low, as the time-delay increases the stable node solution becomes unstable and bifurcates to a limit cycle which signifies a repetitious exchange of the interstellar medium between the disk and halo. On the other hand, the limit cycle solution decays to a stable focus which means that the escaping of the interstellar medium into the halo decreases the amount of matter in the disk and reduces the amplitude of the limit cycle to a focal point. When the time-delay is extremely long, all of the interstellar matter first escapes to the halo and then returns to the disk as infalling cold clouds, so that the disk again enters the coagulation state. No chaotic solutions are found.
Ikeuchi Satoru
Li Fan
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