Abstract

The local bifurcation problem of one-parametric forced oscillations dynamic systems was consider. We give the main asymptotics of forsed oscillations and parameter values in which we get these solutions in the article. They lead to new stability criterias of periodic solutions. These formulas also allow us to prove the exchange of stability between the zero point of equilibrium and forsed oscillations.

Keywords

The bifurcation, the forced oscillations, the periodic solutions, the stability, exchange by stability.