Applications of 1-D Map From Chua's Circuit: A Pictorial Guide

This paper is written as a tutorial on how to use a one-dimensional map derived from Chua's circuit to study the circuit's complicated dynamics. While the derivation of this 1-D map is nontrivial, a user-friendly program is presented to help the beginner uncover and witness, without any prior background on chaos, numerous periodic, homoclinic, heteroclinic and chaotic orbits. In keeping with the pedagogical nature of this paper, these bifurcation phenomena will be profusely illustrated with pictures generated from a computer program, along with the exact parameters so that the reader can easily duplicate them. The program is written in the C-language for both PC-486 computers and UNIX workstations, and available upon requests from the Nonlinear Electronic Laboratory in Berkeley.