✦ LIBER ✦

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

✍ Scribed by F.K. Diakonos; D. Pingel; P. Schmelcher

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 142 KB
Volume: 264
Category: Article
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00775-6

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✦ Synopsis

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.