Chaotic oscillators derived from Saito's double-screw hysteresis oscillator

Abstract

The fact that there exists a core sinusoidal oscillator at the heart of Saito's double-screw hysteresis chaotic oscillator is demonstrated. By applying Bruton's transformation to the active linear part of the circuit, which is shown to be a classical LC-R negative resistor sinusoidal oscillator, an inductorless realization based on a frequency-dependent negative resistor (FDNR) is obtained. The LC-R sinusoidal oscillator is replaced by an FDNR-R oscillator. Furthermore, we show that chaotic behaviour can be preserved when a simple minimum component 2R-2C sinusoidal oscillator is used. Two different realizations of the non-monotone current-controlled hysteresis resistor, one of which is completely passive, are investigated. Experimental results of selected circuits, PSpice and numerical simulations are included.

Publication Title

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

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