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Astron. Astrophys. 324, 750-762 (1997)
From chaotic to 1/f processes in solar mcw-bursts
V.B. Ryabov 1,
A.V. Stepanov 2,
P.V. Usik 1,
D.M. Vavriv 1,
V.V. Vinogradov 1 and
Yu.F. Yurovsky 2
1 Institute of Radio Astronomy, 4 Krasnoznamennaya St.,
310002 Kharkov, Ukraine
2 Crimean Astrophysical Observatory, RT-22, Katziveli,
Crimea, 334247 Ukraine
Received 10 April 1996 / Accepted 18 November 1996
Abstract
Solar bursts with superfine time structure observed at 2.5 and 2.85
GHz at the Crimean Astrophysical Observatory have been analyzed by
means of statistical methods for nonlinear dynamical systems. Finite
values of the correlation dimension have not been detected for all the
studied events. The presence of a ![[FORMULA]](img1.gif)
component in
many of the processed events has been found by means of wavelet
analysis and maximum likelihood technique. The model of uncorrelated
pulses is proposed as the one capable of producing a
shape of the power spectrum. A procedure is
developed for extracting the parameters of pulse sequences from the
data, and the magnitudes of pulse duration, amplitude, and repetition
frequency are estimated for the solar burst events.
Key words: Sun:
flares 
Sun: radio
radiation
chaos
data analysis
Send offprint requests to: V.B. Ryabov
Contents
- 1. Introduction
- 2. Observational data
- 3. Correlation dimension analysis
- 4. 1/f processes in the solar emission
- 5. Pulse model of 1/f processes
- 6. Discussion and conclusions
- Acknowledgements
- Appendix
- Appendix A: hypercube model and errors of calculations
- Appendix B: wavelet analysis and maximum likelihood estimation
- References
© European Southern Observatory (ESO) 1997
Online publication: May 26, 1998
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