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 non-trivial 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.
Complex-Plane Approach for the Analysis of an Externally Excited System with Autoparametric Resonance
NABERGOJ, RADOSLAV
2001-01-01
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 non-trivial 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.File in questo prodotto:
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