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Zbl 1163.34355
Öziş, Turgut; Y ild ir im, Ahmet
Generating the periodic solutions for forcing van der Pol oscillators by the iteration perturbation method.
(English)
[J] Nonlinear Anal., Real World Appl. 10, No. 4, 1984-1989 (2009). ISSN 1468-1218

Summary: In this paper, the iteration perturbation method proposed by {\it J.H. He} [Non-perturbative methods for strongly nonlinear problems, Dissertation.de-Verlag im Internet GmbH (2006); Chaos Solitons Fractals 26, No. 3, 827--833 (2005; Zbl 1093.34520)] 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.
MSC 2000:
*34C25 Periodic solutions of ODE

Keywords: nonlinear systems; forcing nonlinear oscillators; van der Pol's equation

Citations: Zbl 1093.34520

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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