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.
|Number of pages
|International Journal of Electrical Engineering and Education
|Published - 1 Jan 2002
- Limit cycle
- Van der Pol
ASJC Scopus subject areas
- Electrical and Electronic Engineering