Comparison of bifurcation structures of driven dissipative nonlinear oscillators

Abstract

The bifurcation sets of driven strictly dissipative nonlinear oscillators are compared in terms of phase diagrams and fixed-point diagrams. The comparison reveals distinctive bifurcation patterns that occur for all models. In particular, two subpatterns of bifurcation curves within the period-doubling hierarchy can be identified. The results suggest that there exists a universal bifurcation structure for oscillators of the type investigated.