Statistical properties of chaos in Chebyshev maps |
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| Authors: | T Geisel V Fairen |
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| Institution: | Institut für Theoretische Physik, Universität Regensburg, D-8400 Regensberg, Fed. Rep. Germany;Departamento de Física Fundamental, Facultad de Ciencias, UNED, Madrid-3, Spain |
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| Abstract: | Statistical properties of fully developed chaotic maps in the form of Chebyshev polynomials are calculated exactly. We derive analytic expressions for characteristic functions, moments, and moment functions and mention a number of other properties. We also determine higher-order moment functions, which are important for a characterization of the non-gaussian processes exhibited by many maps. |
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