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A unique signum switch for chaos and hyperchaos

Chunbiao Li, Julien Clinton Sprott, Wesley Thio, Huanqiang Zhu
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 designed to take the place of a multiplier and realize switchable piecewise-linearity. Correspondingly, the hyperchaotic circuit is designed without multipliers or inductors, which are present in other hyperchaotic circuits, and thus this circuit has not been previously reported.
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