Non-linear non-radial oscillations of the self-gravitating disk taking into account halo

In this work, we have studied by numerical methods the evolution of non-radial oscillations of an unsteady disk, which is surrounded by a passive ellipsoidal halo with a uniform density. For this purpose, we have developed a special computer program. Numerical calculations are performed for various values of the system parameters, such as the initial perturbation, the circular speed of rotation of the disk, and the ratio of the halo mass to the disk mass. For each of the possible cases, a statistical amplitude is determined that characterizes the degree of deformation of the system. The critical values of the system parameters are found at which the halo stabilizes the non-linearly non-radial oscillations of the disk subsystem of galaxies at an early stage of their evolution.

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