Abstract
The paper studies the bifurcations of limit cycles in a rather general class of nonlinear dynamic systems. Relying on the classical harmonic balance approach as applied in control engineering neat frequency conditions for such bifurcations are derived. These results, approximate in nature, make clear the structural mechanism of the considered phenomena and can be applied to predict the occurrence of bifurcations as a function of system parameters. The application to several examples of different complexity shows the simplicity and accuracy of the proposed method for solving complicated problems of nonlinear dynamics.
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Basso, M., Genesio, R. & Tesi, A. A Frequency Method for Predicting Limit Cycle Bifurcations. Nonlinear Dynamics 13, 339–360 (1997). https://doi.org/10.1023/A:1008298205786
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DOI: https://doi.org/10.1023/A:1008298205786