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Analytical Solutions of Period-1 Motions in a Periodically Forced van der Pol Oscillator

[+] Author Affiliations
Albert C. J. Luo, Arash Baghaei Lakeh

Southern Illinois University Edwardsville, Edwardsville, IL

Paper No. IMECE2012-86589, pp. 105-113; 9 pages
doi:10.1115/IMECE2012-86589
From:
  • 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
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4520-2
  • Copyright © 2012 by ASME

abstract

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.

Copyright © 2012 by ASME

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