STUDY ON RELEVANT PARAMETERS OF SIMPLE SELF-ASSEMBLING CHAOTIC PENDULUM

As an important branch of dynamical systems theory, the intersection of chaos science is becoming more and more important in the fields of physics, information, finance, artificial intelligence and so on. Based on the preliminary work of the laboratory self-assembled multi-parameter chaotic pendulum experimental device, this paper firstly simulates the bifurcation diagrams from the dynamical equations with the change of driving force frequency, length of the driving arm, rotational inertia and damping term, and explores the multiplicative cycle path of the motion system to chaos. Then we investigate the effects of rotational inertia and damping term on the motion of the system by experiments. Both experimental and simulation results show that the motion state of the pendulum changes repeatedly between chaotic and periodic motion with the change of above experimental parameters, and this change is abrupt. The phase diagrams were drawn through videotaping and mass-tracking, and numerical simulation results of the dynamical equations were compared with the experimental data. This device can be used as an introduction for undergraduate students to understand complex systems.