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Period-m 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. IMECE2013-62465, pp. V04BT04A067; 6 pages
doi:10.1115/IMECE2013-62465
From:
  • ASME 2013 International Mechanical Engineering Congress and Exposition
  • Volume 4B: Dynamics, Vibration and Control
  • San Diego, California, USA, November 15–21, 2013
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5625-3
  • Copyright © 2013 by ASME

abstract

Period-m motions in a periodically forced, van der Pol oscillator are investigated through the Fourier series expression, and the stability and bifurcation analysis of such periodic motions are carried out. To verify the approximate solutions of period-m motions, numerical illustrations are given. Period-m motions are separated by quasi-periodic motion or chaos, and the stable period-m motions are in independent periodic motion windows.

Copyright © 2013 by ASME

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