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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2009, 14(2), 159-168; https://doi.org/10.3390/mca14020159

Asymptotic Solutions and Comparisons of a Generalized Van Del Pol Oscillator with Slowly Varying Parameter

Department of Mathematics, Zhangzhou Teachers College Zhangzhou 363000, China
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Published: 1 August 2009
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Abstract

A generalized Van del Pol oscillator with slowly varying parameter is studied. The leading order approximate solutions are obtained respectively by three methods and comparisons are made with numerical results. Different amplitudes are also made to compare the accuracy of the three methods.
Keywords: Van del Pol equation; slowly varying parameter; approximate potential method; equivalent nonlinearization method; multiple scales method; numerical verification Van del Pol equation; slowly varying parameter; approximate potential method; equivalent nonlinearization method; multiple scales method; numerical verification
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Cai, P.; Cai, J. Asymptotic Solutions and Comparisons of a Generalized Van Del Pol Oscillator with Slowly Varying Parameter. Math. Comput. Appl. 2009, 14, 159-168.

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