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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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Published in: | Physics letters. A 1999-12, Vol.264 (2), p.162-170 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 0375-9601 1873-2429 |
DOI: | 10.1016/S0375-9601(99)00775-6 |