Analog study of bifurcation structures in a Van der Pol oscillator with a nonlinear restoring force

Abstract

The injection locking and chaotic transitions in a Van der Pol oscillator with a nonlinear-restoring-force term were investigated in this article via an electronic circuit. Three types of locking processes were differentiated from each other in light of local and global bifurcations. The influences of the nonlinear restoring force on the bifurcation structure were also discussed.