CONTROLLING THE CHAOTIC LOGISTIC MAP

ABSTRACT

Chaos control is completely presented, including targeting, stabilization, and the OGY (Ogy, Greboki, Yorke) technique in the context of the logistic map. By restricting the discussion to this one-dimensional map, all the required tools and techniques are accessible to undergraduate students. The goal is both to expose the students to recent and exciting developments in chaos theory, as well as to strengthen skills and intuition regarding the definition of chaos, finding periodic orbits, and determining stability. The presentation here is in the form of the worksheet actually explored in small groups by West Point students. Solutions and introduction have been added for completeness.

KEYWORDS:

• Chaos
• control
• OGY
• targeting
• logistic map
• undergraduate chaos