Harmonically excited generalized van der Pol oscillators: Entrainment phenomenon

Abstract

Harmonically excited generalized van der Pol oscillators with power-form non-linearities in the restoring and damping-like force are investigated from the viewpoint of the occurrence of harmonic entrainment. Locked periodic motion is obtained by adjusting the averaging method. The influence of the powers of the restoring and damping-like force on the occurrence of this phenomenon is examined. © 2013 Springer Science+Business Media Dordrecht.