A study of local bifurcations of forced oscillations in dynamical systems

We consider the problem of local bifurcations in neighborhoods of stationary states of dynamical systems with a periodic external influence. We study basic scenarios of the bifurcational behavior of a system. We show asymptotic formulas for the resulting oscillations and recommend how to construct the solutions.

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