Nonlinear dynamics and fractals in the solar wind
Wieslaw Macek, Marek Strumik
During about the last twenty years powerful methods of time series
analysis have been developed on the basis of the nonlinear dynamics and
deterministic chaos theory. These methods allow us to obtain some
important information concerning the dynamics of a real physical
system, providing that we have a scalar signal describing time evolution
of a variable of the system. We focus on the development of
the methods of time series analysis and their application for
space plasma signals measured during spacecraft missions. Our main results
concern
- obtaining values of basic dynamical characteristics
(e.g., correlation dimension and entropy) for the slow solar wind flow,
- multifractal nature of the slow solar wind,
- influence of some methods of signal filtering
on reliability of the results obtained by nonlinear methods of time
series analysis,
- estimation of noise level and discrimination of additive from
dynamical noise for chaotic time series.
We are also interested in modeling irregular space plasma flows
within the framework of the magneto-fluid approach and its comparison
with spacecraft measurements.
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