A family of resonance-based tunable frequency oscillators and application to chaos generation

ABSTRACT

We propose a family of second-order resonance-based sinusoidal oscillators with electronically tunable frequencies. Each oscillator is comprised of two amplifiers, surrounded by four impedances which must be a single $\mathit{R}$, $\mathit{L}$ or $\mathit{C}$ and we show that in this configuration eight resonance-based oscillators are possible. We also show the conditions for each oscillator to oscillate along with the frequency of oscillation and then design a non-autonomous chaotic oscillator based on one of these circuits. Circuit simulations using LTspice and experimental results are presented to verify the theory.

KEYWORDS:

• Second-order oscillators
• LC oscillators
• frequency tuning
• phase tuning

Disclosure statement

No potential conflict of interest was reported by the author(s).