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

✍ Scribed by Turgut Öziş; Ahmet Yıldırım

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 354 KB
Volume: 10
Category: Article
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2008.03.005

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✦ Synopsis

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.

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