Abstract
We have developed a machine that enables us to learn bifurcations and chaos intuitively. An inverted pendulum, excited at its pivots, generates the above-mentioned phenomena. The equation of motion of the pendulum is assumed to be described by the equation: Jθ+Cθ+Kθ-mghsinθ=mhaω2cosθcosωt. The experimental result shows that the n period behaviour (n=1, 2, 3) and chaos are clearly observed and the bifurcation characteristics agree well with the simulation results. According to the points of designing the machine, written in this paper, an analogous one or more extended ones can be manufactured.
