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The problem of prediction of a given time series is examined on the basis of recent nonlinear dynamics theories. Particular attention is devoted to forecast the amplitude and phase of one of the most common solar indicator activity, the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Stefano Sello

A Bayesian method for forecasting solar cycles is presented. The approach combines a Fokker--Planck description of short--timescale (daily) fluctuations in sunspot number (\citeauthor{NobleEtAl2011}, 2011, \apj{} \textbf{732}, 5) with…

Solar and Stellar Astrophysics · Physics 2015-06-03 Patrick L. Noble , Michael S. Wheatland

Using neural networks as a prediction method, we attempt to demonstrate that forecasting of the Sun's sunspot time series can be extended to the spatial-temporal case. We employ this machine learning methodology to forecast not only in time…

Solar and Stellar Astrophysics · Physics 2019-03-08 Eurico Covas , Nuno Peixinho , Joao Fernandes

Solar cycles are studied with the Version 2 monthly smoothed international sunspot number, the variations of which are found to be well represented by the modified logistic differential equation with four parameters: maximum cumulative…

Solar and Stellar Astrophysics · Physics 2018-12-19 G. Qin , S. -S. Wu

The use of the spotless days to predict the future solar activity is here revised based on the new version of the sunspot number index with a 24-month filter. Data from Solar Cycle (SC) 10 are considered because from this solar cycle the…

Solar and Stellar Astrophysics · Physics 2017-11-15 V. M. S. Carrasco , J. M. Vaquero , M. C. Gallego

Sunspot activity is highly variable and challenging to forecast. Yet forecasts are important, since peak activity has profound effects on major geophysical phenomena including space weather (satellite drag, telecommunications outages) and…

Astrophysics · Physics 2011-02-11 A. Kilcik , C. N. K. Anderson , J. P. Rozelot , H. Ye , G. Sugihara , A. Ozguc

The relative number of sunspots represents the longest evidence describing the level of solar activity. As such, its use goes beyond solar physics, e.g. towards climate research. The construction of a single representative series is a…

Solar and Stellar Astrophysics · Physics 2022-12-07 Michal Švanda , Martina Pavelková , Jiří Dvořák , Božena Solarová

Reliable prediction of the solar cycle is a formidable challenge, yet it is increasingly vital in our technology-dependent society as solar activity drives space weather. Various methods, including precursors, nonlinear curve fitting and…

Solar and Stellar Astrophysics · Physics 2026-04-20 Bidya Binay Karak

Solar activity is an important driver of long-term climate trends and must be accounted for in climate models. Unfortunately, direct measurements of this quantity over long periods do not exist. The only observation related to solar…

Solar and Stellar Astrophysics · Physics 2023-01-12 Sophie Mathieu , Laure Lefèvre , Rainer von Sachs , Véronique Delouille , Christian Ritter , Frédéric Clette

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

A review of solar cycle prediction methods and their performance is given, including forecasts for cycle 24 and focusing on aspects of the solar cycle prediction problem that have a bearing on dynamo theory. The scope of the review is…

Solar and Stellar Astrophysics · Physics 2015-05-20 K. Petrovay

Sunspot numbers form a comprehensive, long-duration proxy of solar activity and have been used numerous times to empirically investigate the properties of the solar cycle. A number of correlations have been discovered over the 24 cycles for…

Solar and Stellar Astrophysics · Physics 2015-06-11 Yaming Yu , David A. van Dyk , Vinay L. Kashyap , C. Alex Young

Building a reliable forecast of solar activity is a long-standing problem that requires to accurately describe past and current global dynamics. However, synoptic observations of magnetic fields and subsurface flows became available…

Solar and Stellar Astrophysics · Physics 2021-07-14 Irina N. Kitiashvili

In this paper, a stochastic model with regime switching is developed for solar photo-voltaic (PV) power in order to provide short-term probabilistic forecasts. The proposed model for solar PV power is physics inspired and explicitly…

Applications · Statistics 2017-09-19 Raksha Ramakrishna , Anna Scaglione , Vijay Vittal

Sunspot number (SSN) is an important - albeit nuanced - parameter that can be used as an indirect measure of solar activity. Predictions of upcoming active intervals, including the peak and timing of solar maximum can have important…

Space Physics · Physics 2023-05-31 Pete Riley

Forecasting the strength of the sunspot cycle is highly important for many space weather applications. Our previous studies have shown the importance of sunspot number variability in the declining phase of the current 11-year sunspot cycle…

Solar and Stellar Astrophysics · Physics 2017-12-18 Tatiana Podladchikova , Ronald Van der Linden , Astrid M. Veronig

The ability to predict the future behavior of solar activity has become of extreme importance due to its effect on the near Earth environment. Predictions of both the amplitude and timing of the next solar cycle will assist in estimating…

Solar and Stellar Astrophysics · Physics 2015-05-20 A. Ajabshirizadeh , N. Masoumzadeh Jouzdani , S. Abbassi

Human living environment is influenced by intense solar activity. The solar activity exhibits periodicity and regularity. Although many deep-learning models are currently used for solar cycle prediction, most of them are based on a…

Solar and Stellar Astrophysics · Physics 2025-03-04 Cui Zhao , Kun Liu , Shangbin Yang , Jinchao Xia , Jingxia Chen , Jie Ren , Shiyuan Liu , Fangyuan He

The Sun's activity cycle governs the radiation, particle and magnetic flux in the heliosphere creating hazardous space weather. Decadal-scale variations define space climate and force the Earth's atmosphere. However, predicting the solar…

Solar and Stellar Astrophysics · Physics 2019-09-11 Prantika Bhowmik , Dibyendu Nandy

The dynamic activity of the Sun, governed by its cycle of sunspots -- strongly magnetized regions that are observed on its surface -- modulate our solar system space environment creating space weather. Severe space weather leads to…

Solar and Stellar Astrophysics · Physics 2020-05-26 Aleix Espuña-Fontcuberta , Saikat Chatterjee , Dhrubaditya Mitra , Dibyendu Nandy
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