Author(s)

D.W. Russell

Abstract

Stabilization of chaotic systems using the BOXES methodology D.W. Russell Greaf Faffe?/, Ma^er?%, PA ABSTRACT The detection and reporting of chaotic tendencies in real-time, real-world systems is increasing as careful analyses of processes are performed. This may well be in part due to the re-emergent interest in chaotic systems and some of the new possibilities that chaotic programming affords. This paper shows first how the algorithm for the measurement of the information dimension of a fractal has marked similarity to the BOXES paradigm. Second, the paper illustrates how a BOXES-type automaton can be constructed to attach to a simulation of the well-known chaotic system, described by the Lorentz Equations, and how it can be taught to stabilize the motion. INTRODUCTION There is an increase in interest in the whole notion of chaos and how it relates to real-life systems. Schelberg [1] uses the New York City taxi-cab system (or lack of it) as an example of a

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