Logic with nonlinear maps

Abstract

We demonstrate how to encode boolean functions, including explicit 3, 2, and 1-parameter encodings of all 16 binary boolean functions, in single iterations of unimodal nonlinear maps, which significantly improves previous work. We also demonstrate how multimodal nonlinear maps can simply encode any truth table. A single transistor or diode can realize such unimodal maps electronically and thereby encode diverse logic gates. Open sets of gate parameters protect against errors due to imprecision and noise. These encodings can facilitate the next generation of chaogates, reconfigurable logic gates for secure and efficient dynamics-based computation.