Fractal Analysis of the low speed Solar Wind Flow

Details Fractal Analysis of the low speed Solar Wind Flow Fractal Analysis of the low speed Solar Wind Flow

Dec 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996esasp.392..247m&link_type=abstract

Environment Modelling for Space-based Applications, Symposium Proceedings (ESA SP-392). ESTEC Noordwijk, 18-20 September 1996. E

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We argue that the inner heliosphere is a chaotic system. We invoke time series analysis of the measurements by the Helios spacecraft (near the Sun and the Earth) in low-speed streams lasting about one week. The time resolution of the data is about 40.5 s and the autocorrelation time is of about 6 hours. The slope of the calculated correlation function saturates for the embedding dimension greater than 5-6 indicating the attractor of the low-dimension of about 2.25 in the low speed solar wind. Further, a large calculated positive Lyapunov exponent of 0.1-0.2 bits per data sample shows sensitive dependence on initial conditions. This means that the predictability is limited to about one hour. Hence we suggest the observed irregular behaviour of the velocity fluctuations results rather from the nonlinear dynamics of the solar wind itself than from random forces acting from outside.

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