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

The fact that there exists a core sinusoidal oscillator at the heart of Sai to's double-screw hysteresis chaotic oscillator is demonstrated. By applyin g Bruton's transformation to the active linear part of the circuit, which i s 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 wh en a simple minimum component 2R-2C sinusoidal oscillator is used. Two diff erent realizations of the non-monotone current-controlled hysteresis resist or, one of which is completely passive, are investigated. Experimental resu lts of selected circuits, PSpice and numerical simulations are included.