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- Title
The symmetrical Van der Pol oscillator.
- Authors
Kaplan, B. Z.; Horen, Y.
- Abstract
The limit cycle is associated in the Van der Pol oscillator with damping introduced to merely one of its state equations. In the present oscillator nonlinear damping is added to both equations. A unique behaviour is observed in spite of the smallness of the departure from the Van der Pol case. The present treatment is due to classical Poincaré-Bendixson and Liapunov methods. It illuminates in a surprisingly simple and elegant manner the great power of the methods.
- Subjects
VAN der Pol oscillators (Physics); LIMIT cycles; DAMPING (Mechanics)
- Publication
International Journal of Electrical Engineering Education, 2002, Vol 39, Issue 2, p128
- ISSN
0020-7209
- Publication type
Article
- DOI
10.7227/IJEEE.39.2.5