Stabilization of Unstable Periodic Orbits of One-Dimensional Chaotic Maps |
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Authors: | A V Dernov |
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Institution: | (2) Academy of Athens, Research Center for Astronomy, Athens, Greece; |
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Abstract: | Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map. |
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