Strange Nonchaotic Pendulum

Calvin Milligan


Strange nonchaotic (SNC) motion is a kind of nonlinear dynamics that is fractal and nonchaotic and has only been extensively studied recently. Strange nonchaotic dynamics is characterized by a nonpositive maximum Lyapunov exponent and a fractional dimension. The goal of this project is to manifest SNC motion in a simple mechanical pendulum. The pendulum is quasiperiodically driven at two frequencies near the golden ratio, the most irrational number. Time series data from the physical pendulum is similar to computer simulations of an idealized model.