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Nonlinear Dynamical Systems in Engineering pp 9–29Cite as

Perturbation Method: Lindstedt-Poincaré

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Abstract

We seek an expansion that is valid for small but finite amplitude motions. It is convenient to introduce a small, dimensionless parameter e which is of the order of the amplitude of the motion and can be used as a crutch, or a bookkeeping device, in obtaining the approximate solution [22,33–35].

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Author information

Authors and Affiliations

  1. Department of Mechanics and Vibrations, Politehnica University of Timisoara, Bd. Mihai Viteazu 1, 300222, Timisoara, Romania

    Vasile Marinca & Nicolae Herisanu

  2. Romanian Academy, Timisoara Branch, Center for Advanced and Fundamental Technical Research, Bd. M.Viteazu, 24, 300223, Timişoara, Romania

    Vasile Marinca & Nicolae Herisanu

Authors
  1. Vasile Marinca
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  2. Nicolae Herisanu
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Correspondence to Vasile Marinca .

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© 2012 Springer-Verlag Berlin Heidelberg

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Marinca, V., Herisanu, N. (2012). Perturbation Method: Lindstedt-Poincaré. In: Nonlinear Dynamical Systems in Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22735-6_2

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  • DOI: https://doi.org/10.1007/978-3-642-22735-6_2

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  • Print ISBN: 978-3-642-22734-9

  • Online ISBN: 978-3-642-22735-6

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