| Article ID: | iaor20123711 |
| Volume: | 73 |
| Issue: | 4 |
| Start Page Number: | 665 |
| End Page Number: | 676 |
| Publication Date: | Apr 2012 |
| Journal: | Automation and Remote Control |
| Authors: | Yumagulov M, Murtazina S |
| Keywords: | system dynamics |
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.