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 co ntroller is a piecewise quadratic function. of the form g(v) = v/v/. A gene ral two-dimensional linear autonomous system is used for illustration. Bifu rcation analysis and chaos verification sire given by numerical continuatio n techniques and the Shil'nikov theorem. Both computer simulation and circu it implementation demonstrate the chaotic dynamics generated by this simple anti-controller.