Chaos in Mechanical Pendulum-like System Near Main Parametric Resonance

Vibrations of an autoparametric system, composed of a nonlinear mechanical oscillator with an attached damped pendulum, around the principal parametric resonance region, are investigated in this paper. The aim of the work is to show the chaotic motion in instability region. Two kinds of chaotic motion are detected: chaotic swings and chaotic motion composed of swings and rotation of pendulum. The results are confirmed experimentally on especially designed laboratory model. Additionally, the latest methods of chaos identification are applied to confirm chaotic dynamics experimentally.