Control of chaos from a piecewise linear hysteresis circuit

Abstract

This paper proposes a simple control method of chaos from a piecewise linear hysteresis circuit. We can derive one dimensional return map rigorously from the circuit. It enables us to prove chaos generation and to calculate the initial value for the desired unstable periodic orbit (UPO). The control method uses occasional proportional feedback in each linear region and must stabilize the desired UPO in a theoretical sense. The robustness of the control method is verified by laboratory experiment.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>