Generating the periodic solutions for forcing van der Pol oscillators by the Iteration Perturbation method


ÖZİŞ T. , YILDIRIM A.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, cilt.10, ss.1984-1989, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 10 Konu: 4
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.nonrwa.2008.03.005
  • Dergi Adı: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
  • Sayfa Sayıları: ss.1984-1989

Özet

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.