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Math. Comput. Appl. 2009, 14(2), 159-168; doi: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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MDPI and ACS Style

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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