A CMOS chaotic jerk oscillator with smoothly balanced-to-unbalanced transition of double-scroll attractors

Abstract

A CMOS chaotic jerk oscillator is presented based on inherently hyperbolic tangent nonlinearity. The circuit comprises three Gm-C integrators, a current mirror and a differential Operational Transconductance Amplifier (OTA). The OTA provides inherently hyperbolic tangent nonlinearity for chaos. A balanced double-scroll strange attractor is capable of continuously smooth transition to an unbalanced double-scroll and, finally, to either a right-half or a left-half single-scroll attractor. Such transition is adjustable by varying a DC voltage. The circuit is implemented in a 0.18-μm CMOS technology with full-custom design.