On the instabilities of small-scale oscillation modes on the background of a collapsing model of a Protogalaxy

This paper examines the instabilities of horizontal small-scale perturbation modes in the context of a collapsing self-gravitating disk model. Instability calculations were performed for three modes of small-scale perturbations: (m=9, N=17); (m=16, N=18); and (m=15, N=21). Critical diagrams were constructed, and instability increments were calculated. Initial conditions for the formation of corresponding small-scale structural formations in the context of a collapsing self-gravitating disk model were found, depending on the value of the initial virial parameter, which characterizes the collapse rate.