Abstract
The origin of poor and moderate globular cluster systems around galaxies against the background of a nonlinear non-stationary model of collapsing galaxies is studied. The stability of the model with respect to four perturbation modes is studied, and the degree of the mode determines on average the number of clusters in the system. A critical dependence of the initial virial relation on the degree of rotation is constructed for each mode. The dependences of the instability increments on the physical parameters of the model are found.
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