On limit cycle approximations in the van der Pol oscillator |
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| Affiliation: | 1. Unidad Académica Rı́o Gallegos, Universidad Nacional de la Patagonia Austral, Z9400JZV Rı́o Gallegos, Argentina;2. CONICET and Depto. de Ingenierı́a Eléctrica y de Computadoras, Universidad Nacional del Sur, Av. Alem 1253, B8000CPB, Bahı́a Blanca, Argentina;3. Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, PR China;1. KNM MFF UK, Sokolovská 83, 18675 Praha 8, Czech Republic;2. VŠB-TU Ostrava, 17. listopadu 15/2172, 708 33 Ostrava-Poruba, Czech Republic |
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| Abstract: | This paper applies bifurcation analysis to the well-known van der Pol oscillator to obtain approximations of its periodic solutions in the nearly sinusoidal regime. A frequency domain method based on harmonic balance approximations is used for small values of the bifurcation parameter. Moreover, a comparison with some other frequency domain approaches is also given. Finally, a total harmonic distortion is computed using the information provided by the frequency domain approach. |
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