Abstract: The dynamics of the Bianchi IX cosmological model with minimally coupled massive real scalar field is studied. The possibility of non-singular transition from contraction to expansion is shown. A set of initial conditions that lead to non-singular solutions is studied numerically.

Source(gzipped unix tape archive), PostScript(gzipped PostScript document).

The results of numerical computations available on this page in animated GIF format. There are some differences between the color notation adopted in the article and GIF animations. The correspondence between these color notations listed below:

+============+========+
|   Article  |  GIFs  |
+============+========+
| light-gray |  blue  |
+------------+--------+
|    gray    | green  |
+------------+--------+
|  dim-gray  | yellow |
+------------+--------+
|   black    |  red   |
+============+========+

The slice in $(\beta_+,\beta_-)$ plane for the values of $\Omega$ growing from 0.1549 to 0.1608 : bp_bm1.gif.
The slice in $(\beta_+,\beta_-)$ plane for the values of $\Omega$ growing from 0.7593 to 0.7627 : bp_bm2.gif.
The slice in $(\beta_+,\beta_-)$ plane for the values of $\Omega$ growing from 1.1415 to 1.1426 : bp_bm3.gif.
The slice in $(\beta_+,\beta_+')$ plane for the values of $\Omega$ growing from 0.1536 to 0.1608 : bp_bpd1.gif.
The slice in $(\beta_-,\beta_-')$ plane for the values of $\Omega$ growing from 0.1525 to 0.1610 : bm_bmd1.gif.
The slice in $(\beta_-,\beta_-')$ plane for the values of $\Omega$ growing from 0.7593 to 0.7622 : bm_bmd2.gif.

These GIFs may be viewed by means of such applications like XAnim: http://xanim.va.pubnix.com/home.html.

All GIFs in unix tape archive are here: dynB_IXgifs.tar .

Send questions and comments to:
ustiansk@sai.msu.ru.