A piecewise constant switched chaotic circuit with rect-rippling return maps

This paper studies a switched chaotic circuit with periodic pulse-train input. The vector field of the circuit equation is piecewise constant and the embedded return maps are piecewise linear: it is well suited for theoretical analysis. First we overview basic dynamics and rich chaotic and periodic behavior. We then focus on a parameter subspace and show interesting phenomena: the return map can fluctuate and the chaotic attractor is changed into complicated super-stable periodic attractors. Typical phenomena can be confirmed experimentally.