A Stochastic Approach to the Construction of One-Dimensional Chaotic Maps with Prescribed Statistical Properties

Details A Stochastic Approach to the Construction of One-Dimensional Chaotic Maps with Prescribed Statistical Properties A Stochastic Approach to the Construction of One-Dimensional Chaotic Maps with Prescribed Statistical Properties

1999-10-14

arxiv.org/abs/chao-dyn/9910020v1

Nonlinear Sciences

Chaotic Dynamics

to appear in Physics Letters A

Scientific paper

10.1016/S0375-9601(99)00775-6

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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