In this paper, the approximate analytical solutions of period-1 motion in the periodically forced van der Pol oscillator are obtained by the generalized harmonic balanced method. The stability and bifurcation analysis of the period-1 solutions is completed through the eigenvalue analysis, and numerical illustrations of periodic-1 solutions are given to verify the approximate motion. This investigation provides more accurate solutions of period-1 motions in the van der pol oscillator for a better and comprehensive understanding of motions in such an oscillator.
Analytical Solutions of Period-1 Motions in a Periodically Forced van der Pol Oscillator
Luo, ACJ, & Lakeh, AB. "Analytical Solutions of Period-1 Motions in a Periodically Forced van der Pol Oscillator." Proceedings of the ASME 2012 International Mechanical Engineering Congress and Exposition. Volume 4: Dynamics, Control and Uncertainty, Parts A and B. Houston, Texas, USA. November 9–15, 2012. pp. 105-113. ASME. https://doi.org/10.1115/IMECE2012-86589
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