The mechanism of hard excitation of self-oscillations in the case of the resonance 1:2

A method for modeling the hard excitation of self-oscillations in the case of the resonance 1:2 in a nonlocal situation using local methods is proposed. This makes it possible to reveal some characteristic features of the dynamic behavior. In particular, it is shown that, under certain conditions, the stable zero solution can coexist with a chaotic attractor.