Rich Superstable Phenomena in a Piecewise Constant Nonautonomous Circuit with Impulsive Switching

This paper studies rich superstable phenomena in a nonautonomous piecewise constant circuit including one impulsive switch. Since the vector field of circuit equation is piecewise constant, embedded return map is piecewise linear and can be described explicitly in principle. As parameters vary the map can have infinite extrema with one flat segment. Such maps can cause complicated periodic orbits that are superstable for initial state and are sensitive for parameters. Using a simple test circuit typical phenomena are verified experimentally. key words: chaos, bifurcation, piecewise constant systems, superstable periodic orbits