Abstract
An autoparametric system with external excitation was examined by Nabergoj R, Tondl A, and Virag Z. (Chaos, Solitons & Fractals 1994;4:263–273). For investigating the semi-trivial and the nontrivial solution, a different approach in terms of complex-plane variables is here presented. It is proved that autoparametric resonance is initiated when semi-trivial solution becomes unstable. The trajectory of the system transforms from a straight line to an elliptic path. Within a certain interval of the excitation frequency, chaotic motion becomes possible.
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