Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1999-10-14
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.
Diakonos Fotios K.
Pingel Detlef
Schmelcher Peter
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