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Related papers: Nonlinear Time Series Analysis of Sunspot Data

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Wind farms can be regarded as complex systems that are, on the one hand, coupled to the nonlinear, stochastic characteristics of weather and, on the other hand, strongly influenced by supervisory control mechanisms. One crucial problem in…

Applications · Statistics 2021-01-22 Tobias Braun , Matthias Waechter , Joachim Peinke , Thomas Guhr

Using Greenwich and SOON sunspot group data during the period 1874 -- 2005, we find that the sums of the areas of the sunspot groups in $0^\circ$ -- $10^\circ$ latitude-interval of the Sun's northern hemisphere and in the time-interval,…

Astrophysics · Physics 2008-11-26 J. Javaraiah

We create a continuous series of daily and monthly hemispheric sunspot numbers (HSNs) from 1874 to 2020, which will be continuously expanded in the future with the HSNs provided by SILSO. Based on the available daily measurements of…

Solar and Stellar Astrophysics · Physics 2023-01-06 Astrid M. Veronig , Shantanu Jain , Tatiana Podladchikova , Werner Poetzi , Frederic Clette

We present a hybrid forecasting strategy that combines numerical modeling, statistical forecasting, and machine learning methods to predict enhanced bursts of solar activity. These bursts, referred to here as space weather seasons, occur on…

Solar and Stellar Astrophysics · Physics 2026-05-27 Juie Shetye , Mausumi Dikpati

Monthly averages of the sunspot number visible on the sun, observed from 1749, Zurich Observatory, and from 1848 other observatories, have been analyzed. This time signal presents a frequency power spectra with a clear $1/f^\alpha$ behavior…

Adaptation and Self-Organizing Systems · Physics 2016-09-08 H. Fanchiotti , S. J. Sciutto , C. A. Garcia Canal , C. Hojvat

This study aimed to analyze the time series behavior of the Southern Oscillation Index through techniques using Fast Fourier Transform, computing the autocorrelation function, and the calculation of the Hurst coefficient. The methodology of…

We present an analysis of timing residual (noise) of 54 pulsars obtained from 25-m radio telescope at Urumqi Observatory with a time span of 5~8 years, dealing with statistics of the Hurst parameter. The majority of these pulsars were…

Instrumentation and Methods for Astrophysics · Physics 2009-10-09 X. S. Na , N. Wang , J. P. Yuan , Z. Y. Liu , J. Pan , R. X. Xu

In this paper Fourier Transform and Wavelet Transform are applied in case of recent 300 years of sunspot numbers to explain the solar cycles. Here basically parallel study of Fourier and Wavelet analysis are done and we have observed that…

Computational Engineering, Finance, and Science · Computer Science 2013-12-11 Sabyasachi Mukhopadhyay , Debadatta Dash , Asish Mitra , Prasanta K. Panigrahi

Through meticulous daily observation of the Sun's large-scale magnetic field the Wilcox Solar Observatory (WSO) has catalogued two magnetic (Hale) cycles of solar activity. Those two (~22-year long) Hale cycles have yielded four…

Solar and Stellar Astrophysics · Physics 2022-09-15 Scott W. McIntosh , Phillip H. Scherrer , Leif Svalgaard , Robert J. Leamon

In 1844 Schwabe discovered that the number of sunspots increased and decreased over a period of about 11 years, that variation became known as the sunspot cycle. Almost eighty years later, Hale described the nature of the Sun's magnetic…

We study long-range correlations and trends in time series extracted from the data of seismic events occurred from 1973 to 2011 in a rectangular region that contains mainly all the continental part of Colombia. The long-range correlations…

Geophysics · Physics 2014-10-29 L. A. Martin-Montoya , N. M. Aranda-Camacho , C. J. Quimbay

Duration of the extended solar cycles is taken into the consideration. The beginning of cycles is counted from the moment of polarity reversal of large-scale magnetic field in high latitudes, occurring in the sunspot cycle n till the…

Astrophysics · Physics 2009-11-13 A. G. Tlatov

Sunspots are a canonical marker of the Sun's internal magnetic field which flips polarity every ~22-years. The principal variation of sunspots, an ~11-year variation in number, modulates the amount of magnetic field that pierces the solar…

With recent advances in the field of machine learning, the use of deep neural networks for time series forecasting has become more prevalent. The quasi-periodic nature of the solar cycle makes it a good candidate for applying time series…

Solar and Stellar Astrophysics · Physics 2020-05-27 B. Benson , W. D. Pan , A. Prasad , G. A. Gary , Q. Hu

We have reconstructed the sunspot group count, not by comparisons with other reconstructions and correcting those where they were deemed to be deficient, but by a re-assessment of original sources. The resulting series is a pure solar index…

Solar and Stellar Astrophysics · Physics 2016-03-23 Leif Svalgaard , Kennuth H. Schatten

We empirically analyze the most volatile component of the electricity price time series from two North-American wholesale electricity markets. We show that these time series exhibit fluctuations which are not described by a Brownian Motion,…

Statistical Finance · Quantitative Finance 2015-07-23 Francesco Caravelli , James Requeima , Cozmin Ududec , Ali Ashtari , Tiziana Di Matteo , Tomaso Aste

The sunspots and other solar activity indicators tend to cluster on the surface of the Sun.These clusters very often occur at certain longitudes that persist in time.It is of general interest to find new and simple ways to characterize the…

Solar and Stellar Astrophysics · Physics 2015-05-14 J. Pelt , M. J. Korpi , I. Tuominen

In the present study, high-precision time series photometry for the active \emph{Kepler} stars is described in the language of multifractals. We explore the potential of using the rescaled range analysis ($R/S$) and multifractal detrended…

Solar and Stellar Astrophysics · Physics 2019-08-14 D. B. de Freitas , M. M. F. Nepomuceno , L. D. Alves Rios , M. L. Das Chagas , J. R. De Medeiros

A simple method to detect inconsistencies in low annual sunspot numbers based on the relationship between these values and the annual number of active days is described. The analysis allowed for the detection of problems in the annual…

Solar and Stellar Astrophysics · Physics 2015-06-03 J. M. Vaquero , R. M. Trigo , M. C. Gallego

Sunspots are dark spots on the solar surface associated with strong magnetic fields. The number, area, and brightness of sunspots are supposed to reflect the intensity of the solar magnetic fields and are often used as proxies for their…

Solar and Stellar Astrophysics · Physics 2015-06-16 K. Georgieva , B. Kirov , Yu. A. Nagovitsyn