Dynamical modelling of superstatistical complex systems
نویسندگان
چکیده
We show how to construct the optimum superstatistical dynamical model for a given experimentally measured time series. For this purpose we generalise the superstatistics concept and study a Langevin equation with a memory kernel whose parameters fluctuate on a large time scale.We showhow to construct a synthetic dynamicalmodelwith the same invariant density and correlation function as the experimental data. As a main example we apply our method to velocity time series measured in high-Reynolds-number turbulent Taylor–Couette flow, but the method can be applied to many other complex systems in a similar way. © 2010 Elsevier B.V. All rights reserved.
منابع مشابه
2 5 N ov 2 00 9 Dynamical modelling of superstatistical complex systems
We show how to construct the optimum superstatistical dynamical model for a given experimentally measured time series. For this purpose we generalise the superstatistics concept and study a Langevin equation with a memory kernel whose parameters fluctuate on a large time scale. It is shown how to construct a synthetic dynamical model with the same invariant density and correlation function as t...
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