Elsevier

Physics Letters A

Volume 105, Issue 6, 22 October 1984, Pages 263-266
Physics Letters A

Statistical properties of chaos in Chebyshev maps

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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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Cited by (0)

1

Heisenberg fellow, work supported by Deutsche Forschungsgemeinschaft.

3

This work was performed during one of the authors' visits (T.G.) at the Departamento de Física Fundamental of the UNED. He thanks Manuel Velarde and all other friends of the Departamento for their kind hospitality.

2

Present address: Departamento de Termologia, Facultad de Ciencias, Universidad de Valladolid, Valladolid, Spain.

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