Controlling Complexity

Leon Poon and Celso Grebogi
Institute for Plasma Research, University of Maryland, College Park, MD 20742

Phys. Rev. Lett. 75, 4023-4026 (1995).


Complex systems have the property that many competing behaviors are possible and the system tends to alternate among them. In fact, the ability of a complex system to access many different states, combined with its sensitivity, offers great flexibility in manipulating the system's dynamics to select a desired behavior. By understanding dynamically how some of the complex features arise, we show that it is indeed possible to control a complex system's behavior. This is illustrated by using the noisy double rotor map as a paradigm.
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