Bifurcation analysis and circuit implementation of a simple chaos generator

ia nonlinear controller is proposed for chaos generation in an arbitrarily given lower-order linear autonomous system. The only nonlinearity in the controller is a piecewise quadratic function. of the form g(v) = v/v/. A general two-dimensional linear autonomous system is used for illustration. Bifurcation analysis and chaos verification sire given by numerical continuation techniques and the Shil'nikov theorem. Both computer simulation and circuit implementation demonstrate the chaotic dynamics generated by this simple anti-controller.