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