2002•International Journal of Electrical Engineering EducationRequires access
The Symmetrical Van Der Pol Oscillator
B.Z. Kaplan, Y. Horen
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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.