The symmetrical Van der Pol oscillator

B. Z. Kaplan, Y. Horen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)128-137
Number of pages10
JournalInternational Journal of Electrical Engineering and Education
Issue number2
StatePublished - 1 Jan 2002


  • Liapunov
  • Limit cycle
  • Oscillator
  • Poincaré-Bendixson
  • Rayleigh
  • Van der Pol

ASJC Scopus subject areas

  • Education
  • Electrical and Electronic Engineering


Dive into the research topics of 'The symmetrical Van der Pol oscillator'. Together they form a unique fingerprint.

Cite this