An Experimental Investigation of a Nonlinear Mathieu Equation

Abstract

A study of the equation $x¯+βx˙±x3+(α-2γcos2t)x=0$ , using an electronic model, provides a qualitative insight into the nature of its simplest periodic solutions and leads to simple analytical results in quantitative agreement with the experimental observations. A circuit diagram is given, with practical details and an analysis of its operation.