Generating the periodic solutions for forcing van der Pol oscillators by the Iteration Perturbation method
Articles > Article · 2008
Authors: TURGUT ÖZİŞ, Ahmet YILDIRIM
Nonlinear Analysis: Real World Applications, Journal Indexed in SCI Expanded, International, WoS, 2008, vol 10, pp 1984-1989
DOI: 10.1016/j.nonrwa.2008.03.005
Summary
In this paper, the iteration perturbation method proposed by He [J.H. He, Non-perturbative methods for strongly nonlinear problems, Dissertation. de-Verlag im Internet GmbH. 2006: J.H. He, Limit cycle and bifurcation of nonlinear problems, Chaos Solitons Fractals 26 (2005) 827-833] is used to generate periodic solutions of van der Pol oscillator with a forcing term, forcing oscillator with quadratic type damping and van der Pol oscillator with excitation term. The comparison of the obtained results verifies its convenience and effectiveness. (C) 2008 Elsevier Ltd. All rights reserved.