A model system for the behavior of two non-linearly coupled oscillators

摘要: Abstract This paper presents a systematic analysis approach for the study of two non-linearly coupled oscillators, with incommensurable fundamental frequencies. The asymptotic perturbation method is used to analyze bifurcation problem codimension two. It found that amplitude modulation equations are equal normal forms available in literature. Approximate analytic solutions generic quadratic and cubic non-linearities can be constructed. results obtained from computer simulation based on fifth order Runge–Kutta–Fehlberg scheme confirm validity method. illustrated by applying it two-rod system subjected aerodynamic excitation.