Abstract

The exploitation of chaotic and nonlinear dynamical phenomena for practical applications has recently been transformed from concept to reality. Two major approaches to achieving control of chaotic systems have been developed. Hubler and his coworkers have studied control algorithms for driven nonlinear systems where the time dependence of the driving forces necessary to to obtain resonant stimulation are computed from Poincare maps of the system or from detailed mathematical models.¹ A different approach was initiated by Ott Grebogi and Yorke (OGY); they suggested that a chaotic attractor typically has many unstable periodic orbits associated with it, that could be stabilized by appropriate modifications to a system parameter.² Their approach was experimentally demonstrated by Ditto, Rauseo and Spano in their experiments on a magnetoelastic ribbon.³

© 1992 Optical Society of America