Behavior of sectorial instabilities depending on the parameters of the generalized model of a self-gravitating disk

In this work we study the problem of gravitational instability in the generalized model of a nonlinearly radially pulsating disk with an anisotropic velocity diagram relative to sectoral perturbation modes. This model is a nonstationary generalization of the equilibrium self-gravitating disk of Bisnovatyi-Kogan and Zeldovich. Nonstationary analogues of dispersion equations (NADE) are obtained on the background of this generalized model for sectoral modes of perturbations. Based on the results of numerical calculations of NADE, graphs comparing the increments of instability as a function of the initial virial ratio of the system for different values of the parameters and , characterizing the difference and the degree of anisotropy of the nonlinearly nonstationary generalized model of the self-gravitating disk, are constructed. In particular, it is found that the development of the bar-like perturbation mode will be the same for all anisotropic models, since the NADE of this mode does not depend on these parameters and .