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In order to identify the exact criteria for the formation of two-ringstructures in galaxies, we studied the issue of gravitational instability ofthe corresponding structural vibration modes against the background of acomposite disk model [1-3], which has an exact nonlinear law ofnonstationarity. Nonstationary analogs of dispersion equations for the givenstructural vibration modes of the model are derived and the results of theiranalysis are obtained. A comparative analysis of the increments ofinstabilities of ring-like oscillation modes is carried out to determine thedependence of their characteristic times of manifestation on the main physicalparameters of the model.

gravitation and cosmology/gravitation and cosmology

Gravitational Instability of Perturbations in a Background Nonlinear  Nonstationary Model of a Disk-Like System. IV. Formation of two-ring  structures in galaxies