The translinear Principle: a General Framework for Implementing Chaotic oscillators

In this Letter, we propose a class of nonlinear dynamic translinear circuits as a viable tool for the rapid and systematic implementation of chaotic oscillators in analog integrated circuits. In this regard, our primary focus is on multiple-input translinear element (MITE) networks and their particular merits. We also describe, as an illustrative example, our monolithic implementation of the Lorenz equations, and report on results from a test chip fabricated in a 0.5μm CMOS process through MOSIS. We also show that Chua’s circuit can be implemented easily in our framework.