Forced oscillations, bifurcations and stability of a molecular system .2. Resonances

Abstract

The bifurcation and stability analysis of the non-autonomous system studied in a companion paper is extended to cases in which external resonance occurs, In particular, three representative resonance cases are studied. They are 1:1 primary resonance, 1:2 superharmonic resonance, and 2:1 subharmonic resonance cases, Again, the intrinsic harmonic balancing technique is used as the main method of analysis which is facilitated by MAPLE, a symbolic computer language.