MOS Realization of the Conjectured Simplest Chaotic Equation

This paper presents a general block diagram of a third-order linear differential equation using current mode techniques. The realization of the conjectured simplest chaotic equation of Elwakil and Kennedy based on G_m – C technology is given. The metal oxide semiconductor circuit is composed of 20 transistors and three grounded capacitors, can operate from a supply voltage as low as ±1.5 V, and covers a very wide range of frequencies. PSpice simulation results using 0.5 µm Mietec technology are given. A numerical solution is also included to verify the circuit operation.