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Controlling Chaos With Mathematica
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Organization: | University of Cantabria |
Department: | Department of Applied Mathematics and Computational Science |
Organization: | University of Salamanca |
Department: | Department of Chemistry-Physics |
Organization: | University of Cantabria |
Department: | Department of Applied Physics |
Organization: | University of Cantabria |
Department: | Department of Applied Mathematics and Computational Science |
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Mathematics with Vision: Proceedings of the First International Mathematica Symposium |
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In this paper we show the implementation in Mathematica of a new method that allows one to stabilize chaotic systems by applying proportional pulses in the system variable (Matias & Guemez [5]). The performance of this method is shown in the cases of the maps exhibiting many several features (quasiperiodicity, intermittency, crises routes to chaos, etc.). Some examples of 1-D and 2-D iterated maps (Logistic, Henon and Burger maps) are presented, in order to illustrate the efficiency of the method and the power of its implementation with Mathematica.
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