On perturbations of systems with multidimensional degeneration

Bifurcation conditions are found for the periodic solutions in systems of differential equations with the perturbation (small disturbance) in the case of existence of joined Floke solutions in a linearized nonperturbed system. For this case a multidimensional analog of the Malkin bifurcation function is built up.

Presented by the member of Editorial Board: A. M. Krasnosel'skii