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Article

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

by
Ping Cai
* and
Jianping Cai
Department of Mathematics, Zhangzhou Teachers College Zhangzhou 363000, China
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2009, 14(2), 159-168; https://doi.org/10.3390/mca14020159
Published: 1 August 2009
Versions Notes

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

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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. https://doi.org/10.3390/mca14020159

AMA Style

Cai P, Cai J. Asymptotic Solutions and Comparisons of a Generalized Van Del Pol Oscillator with Slowly Varying Parameter. Mathematical and Computational Applications. 2009; 14(2):159-168. https://doi.org/10.3390/mca14020159

Chicago/Turabian Style

Cai, Ping, and Jianping Cai. 2009. "Asymptotic Solutions and Comparisons of a Generalized Van Del Pol Oscillator with Slowly Varying Parameter" Mathematical and Computational Applications 14, no. 2: 159-168. https://doi.org/10.3390/mca14020159

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