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A stochastic approach to the construction of one-dimensional chaotic maps with prescribed statistical properties

We use a recently found parametrization of the solutions of the inverse Frobenius–Perron problem within the class of complete unimodal maps to develop a Monte Carlo approach for the construction of one-dimensional chaotic dynamical laws with given statistical properties, i.e. invariant density and a...

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Bibliographic Details
Published in:Physics letters. A 1999-12, Vol.264 (2), p.162-170
Main Authors: Diakonos, F.K., Pingel, D., Schmelcher, P.
Format: Article
Language:English
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Summary:We use a recently found parametrization of the solutions of the inverse Frobenius–Perron problem within the class of complete unimodal maps to develop a Monte Carlo approach for the construction of one-dimensional chaotic dynamical laws with given statistical properties, i.e. invariant density and autocorrelation function. A variety of different examples are presented to demonstrate the power of our method.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(99)00775-6