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Title

Controlling Chaos With Mathematica
Authors

Andrés Iglesias
Organization: University of Cantabria
Department: Department of Applied Mathematics and Computational Science
M. A. Matías
Organization: University of Salamanca
Department: Department of Chemistry-Physics
J. Güémez
Organization: University of Cantabria
Department: Department of Applied Physics
José Manuel Gutiérrez
Organization: University of Cantabria
Department: Department of Applied Mathematics and Computational Science
Journal / Anthology

Mathematics with Vision: Proceedings of the First International Mathematica Symposium
Year: 1995
Page range: 207-214
Description

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.
Subject

*Mathematics > Calculus and Analysis > Dynamical Systems