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Analytical approximations of the period of a generalized nonlinear van der Pol oscillator

✍ Scribed by Igor V. Andrianov; Wim T. van Horssen

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
118 KB
Volume
295
Category
Article
ISSN
0022-460X

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✦ Synopsis

In this paper analytical approximations for the period of a generalized nonlinear van der Pol equation will be obtained by using various asymptotic methods.

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A three-dimensional system of di!erential equations that models an electronic oscillator is considered. The equations allow a variety of periodic orbits that originate from a degenerate Hopf bifurcation, which is analytically studied. Numerical results are presented that show the existence of saddle