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MATEMATICAS

Control del caos usando la estrategia OGY

[RESUMEN] ABSTRACT

In 1990 Ott, Grebogi and Yorke published the first article on chaos control. Since then interest in this subject has increased, specially because chaotic behavior is not always desirable. The OGY strategy consists of using small perturbations of the orbit so that it stabilizes in one of the unstable periodic orbits existing in a chaotic attractor. Small perturbation means that the parameters, slightly varied, correspond to full extent of the chaos to be controlled. We will use the simple logistic map with a view to teaching chaos control, stabilizing the orbit:
1) In a fixed point.
2) In a period 2 cycle.