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

Makaleler > Tam Makale · 2008

Yazarlar: TURGUT ÖZİŞ, Ahmet YILDIRIM

Nonlinear Analysis: Real World Applications, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2008, cilt 10, ss 1984-1989

DOI: 10.1016/j.nonrwa.2008.03.005

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.

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