Control of chaos refers to a process wherein a tiny perturbation is applied to a chaotic system, in order
to realize a desirable (chaotic, periodic, or stationary) behavior. We review the major ideas involved in
the control of chaos, and present in detail two methods: the Ott
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Grebogi
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Yorke (OGY) method and the
adaptive method. We also discuss a series of relevant issues connected with chaos control, such as the
targeting problem, i.e., how to bring a trajectory to a small neighborhood of a desired location in the chaotic
attractor in both low and high dimensions, and point out applications for controlling fractal basin
boundaries. In short, we describe procedures for stabilizing desired chaotic orbits embedded in a chaotic
attractor and discuss the issues of communicating with chaos by controlling symbolic sequences and of
synchronizing chaotic systems. Finally, we give a review of relevant experimental applications of these ideas
and techniques.