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Multifractality due to long-range correlation in the L-band ionospheric scintillation S 4 index time series

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Abstract

The earth’s ionosphere is well recognized as a dynamical system and non-linearly coupled with the magnetosphere above and natural atmosphere below. The shape and time variability of the ionosphere indeed shows chaos, pattern formation, random behaviour and self-organization. The present paper studies the propriety of Multifractal Detrended Fluctuation Analysis (MF-DFA) technique for the ionospheric scintillation index time series. MF-DFA is used to identify the scaling behaviour of the ionospheric scintillation time-series data of two different nature. The obtained results show the robustness and the relevancy of the MF-DFA technique for the ionospheric scintillation index time series. The comparison of the MF-DFA results of original data to those of shuffled and surrogate series shows that the multifractal nature of considered time-series is almost due to long-range correlations. Subsequently, the Hurst exponents derived from two parallel methods namely Rescaled range analysis (R/S) and Auto Correlation Function (ACF) are also suggesting the presence of long range correlation. The presented results in this work may be of assistance for future modeling and simulation studies.

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Acknowledgements

The authors acknowledge the support through TEQIP grant, received from the World Bank for the procurement of GPS system at Surat. The first author also acknowledges the fellowship support extended to her by the S. V. National Institute of Technology.

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Correspondence to H. J. Tanna.

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Tanna, H.J., Pathak, K.N. Multifractality due to long-range correlation in the L-band ionospheric scintillation S 4 index time series. Astrophys Space Sci 350, 47–56 (2014). https://doi.org/10.1007/s10509-013-1742-5

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  • DOI: https://doi.org/10.1007/s10509-013-1742-5

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