A Unique Signum Switch for Chaos and Hyperchaos

A new piecewise-linear element with the form of xsign(y) is applied for chaos and hyperchaos. By the use of some diodes, resistors and operational amplifiers, a unique signum element with a signal line and a control line is applied to take the place of a multiplier and realize switchable piecewise-linearity. Correspondingly, the hyperchaotic circuit with two piecewise-linear elements is designed without multipliers or inductors, which are customarily present in other hyperchaotic circuits, and thus this circuit has not been previously reported.

Ref: C. Li, W. Thio, J. C. Sprott, and H. Zhu, PHYSCON 2015, Istanbul, Turkey (2015)