Fractal analysis of the solar wind flow in the inner heliosphere

Details Fractal analysis of the solar wind flow in the inner heliosphere Fractal analysis of the solar wind flow in the inner heliosphere

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997csf.....8.1601m&link_type=abstract

Chaos, Solitons and Fractals, vol. 8, p. 1601

Statistics

Computation

7

Solar Wind, Chaos, Fractals, Magnetohydrodynamic Flow, Time Series Analysis, Computation, Correlation, Liapunov Functions

Scientific paper

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) in low-speed streams. The slope of the calculated correlation function saturates at some finite value of the embedding dimension, indicating a low-dimension of the attractor of about 3.5. Furthermore, the largest calculated positive Lyapunov exponent of approximately 1/5 bits per data sample (40.5 s) shows sensitive dependence on initial conditions. This means that the predictability of the system is limited to about 1 h.

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