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Related papers: Nonlinear Time Series Analysis of Sunspot Data

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We show that the continuous wavelet transform can provide a unique decomposition of a timeseries in to 'signal-like' and 'noise-like' components: From the overall wavelet spectrum two mutually independent skeleton spectra can be extracted,…

Data Analysis, Statistics and Probability · Physics 2009-11-10 J. Polygiannakis , P. Preka-Papadema , X. Moussas

The subject of this paper is the existence and stability of solar cycles with duration in the range of 20-250 years. Five type of data series are used: 1) The Zurich series (1749-2009), the mean annual International sunspot number Ri; 2)…

Solar and Stellar Astrophysics · Physics 2010-07-27 B. Komitov , S. Sello , P. Duchlev , M. Dechev , K. Penev , K. Koleva

Recent precise observations of solar global parameters are used to calibrate an upgraded solar model which takes into account magnetic fields in the solar interior. Historical data about sunspot numbers (from 1500 to the present) and solar…

Astrophysics · Physics 2015-06-24 Sabatino Sofia , Linghuai H. Li

We have recovered the sunspot observations made by David E. Hadden during 1890-1931 from Alta, Iowa. We have digitized the available data published by Hadden in different astronomical journals. This data series have been analyzed and…

Solar and Stellar Astrophysics · Physics 2015-06-16 V. M. S. Carrasco , J. M. Vaquero , M. C. Gallego , R. M. Trigo

In 1965 Paul D. Jose published his discovery that both the motion of the Sun about the center of mass of the solar system and periods comprised of eight Hale magnetic sunspot cycles with a mean period of ~22.37 years have a matching…

Solar and Stellar Astrophysics · Physics 2017-01-19 Gerald E. Pease , Gregory S. Glenn

Heliographic coordinates are used to identify the positions of solar features, especially the sunspot groups on the Sun's surface. Tracking the positions of sunspot groups provides information about solar rotation and the movement behavior…

Solar and Stellar Astrophysics · Physics 2015-06-22 H. Cakmak

We test on Saturn's rings whether the Hurst exponent is a "robust" observable, in the sense that it returns consistent values for different observations of the same object. We calculate the exponent of the series corresponding to the…

Earth and Planetary Astrophysics · Physics 2025-11-26 Horacio Salomone , Nicolás Grandi

Sizes of the sunspots vary in a wide range during the progression of a solar cycle. Long-term variation study of different sunspot sizes are key to better understand the underlying process of sunspot formation and their connection to the…

Solar and Stellar Astrophysics · Physics 2016-10-26 Sudip Mandal , Dipankar Banerjee

Sunspot numbers are important tracers of historical solar activity. They are important in the prediction of oncoming solar maximum, in the design of lifetimes of space assets, and in assessing the extent of solar-radiation impact on the…

Solar and Stellar Astrophysics · Physics 2016-02-26 K. S. Balasubramaniam , T. W. Henry

Because of the lack of reliable sunspot observation, the quality of sunspot number series is poor in the late 18th century, leading to the abnormally long solar cycle (1784--1799) before the Dalton minimum. Using the newly recovered solar…

Solar and Stellar Astrophysics · Physics 2009-07-22 Ilya G. Usoskin , Kalevi Mursula , Rainer Arlt , Gennady A. Kovaltsov

Solar irradiance measurements are limited to the last few decades, requiring reconstructions to assess solar variability on longer timescales and its impact on Earth's climate. We present the first physics-based reconstruction of total…

Solar and Stellar Astrophysics · Physics 2026-05-22 D. Temaj , N. A. Krivova , S. K. Solanki , I. G. Usoskin , T. Chatzistergos

Despite the known general properties of the solar cycles, a reliable forecast of the 11-year sunspot number variations is still a problem. The difficulties are caused by the apparent chaotic behavior of the sunspot numbers from cycle to…

Astrophysics · Physics 2009-11-13 I. N. Kitiashvili , A. G. Kosovichev

Long-range dependence induced by heavy tails is a widely reported feature of internet traffic. Long-range dependence can be defined as the regular variation of the variance of the integrated process, and half the index of regular variation…

Statistics Theory · Mathematics 2007-10-01 Gilles Fay , François Roueff , Philippe Soulier

In the previous study (Hiremath 2006a), the solar cycle is modeled as a forced and damped harmonic oscillator and from all the 22 cycles (1755-1996), long-term amplitudes, frequencies, phases and decay factor are obtained. Using these…

Astrophysics · Physics 2007-05-23 K. M. Hiremath

Recently, using Greenwich and Solar Optical Observing Network sunspot group data during the period 1874-2006, (Javaraiah, MNRAS, 377, L34, 2007: Paper I), has found that: (1) the sum of the areas of the sunspot groups in 0-10 deg latitude…

Solar and Stellar Astrophysics · Physics 2011-08-31 J. Javaraiah

The market efficiency hypothesis has been proposed to explain the behavior of time series of stock markets. The Black-Scholes model (B-S) for example, is based on the assumption that markets are efficient. As a consequence, it is…

Statistical Finance · Quantitative Finance 2019-03-20 Carlos Arturo Soto Campos , Leopoldo Sánchez Cantú , Zeus Hernández Veleros

The rescaled range statistical analysis (R/S) is proposed as a new method to detect correlations in pseudorandom number generators used in Monte Carlo simulations. In an extensive test it is demonstrated that the RS analysis provides a very…

Computational Physics · Physics 2009-10-30 B. M. Gammel

Context. CoRoT light curves have an unprecedented photometric quality, having simultaneously a high signal-to-noise ratio, a long time span and a nearly continuous duty-cycle. Aims. We analyse the light-curves of four bright targets…

Solar and Stellar Astrophysics · Physics 2015-05-13 B. Mosser , F. Baudin , A. F. Lanza , J. C. Hulot , C. Catala , A. Baglin , M. Auvergne

The conventional formal tool to detect effects of the financial persistence is in terms of the Hurst exponent. A typical corresponding result is that its value comes out close to 0.5, as characteristic for geometric Brownian motion, with at…

Physics and Society · Physics 2008-12-02 R. Rak , S. Drozdz , J. Kwapien , P. Oswiecimka

Quantitative models of sunspot and starspot decay predict the timescale of magnetic diffusion and may yield important constraints in stellar dynamo models. Motivated by recent measurements of starspot lifetimes, we investigate the…

Solar and Stellar Astrophysics · Physics 2017-01-18 Yuri E. Litvinenko , M. S. Wheatland