The dynamics of two degree-of-freedom dynamical systems with 1:2 subharmonic internal resonance and weak quadratic nonlinearities is analyzed in the neighbourhood of bifurcation points, when the excitation frequency varies slowly through the region of primary resonance. The slowly evolving averaged equations are numerically studied for motions initiated in the vicinity of the stationary responses. An analytical technique, based on the Dynamic Bifurcation Theory is then developed to explain the numerical observations for slow frequency sweep through the bifurcations, and the effects of system parameters on the dynamics near a Pitchfork Point are determined.
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