Inductor-free Chua’s Circuit Employing Linear Voltage-controlled Resistor

Abstract

This paper presents a low-cost, inductor-free Chua’s circuit which incorporates high linearity voltage-controlled resistor (VCR). Compared with the conventional circuit topology with fixed physical inductor, the inductor-free version offers extra degree of flexibility in setting the desired inductance value, and facilitates the measurement and monitoring of the virtual inductor current. Apart from these benefits, one major advantage of the proposed circuit lies in convenient generation of experimental bifurcation diagram using VCR, which provides one with panoramic view of circuit behavior under certain parametric variation. The analytical model and circuit configuration are briefly discussed, and experimental study is conducted to confirm the practicality of the proposed circuit topology.