Study of the internal Resonance of a two-Degree-of-Freedom Non-Linear Dynamic System

Abstract

The paper analyses a two- degree- of- freedom dynamic system, by taking into account its non- linearity. The case of the internal resonance is studied and, by local analysis, Hopf bifurcations are emphasized. Periodic motion domains, as well as domains of possible evolution towards chaos have been found, for certain values of the parameters of the system.