A discrete generalized hyperchaotic Henon map circuit

This paper describes a discrete-component electronic implementation of a discrete-time hyperchaotic generalized Henon map with analog states. The relatively simple circuit design uses commonly available parts and is readily constructed. Initial analysis of experimental results indicates that the circuit is functional.

I. Introduction

Much attention has been focused on chaotic systems by the circuits and systems community over the last two decades [1]. Application areas have included secure communications [2] and information processing [3]. Recently hyperchaotic systems have been a topic of increased interest [4]. Hyperchaotic systems possess at least two positive Lyapunov exponents as compared to the more relaxed requirement of a single positive Lyapunov exponent for a chaotic system.