Simple model of a stochastically excited solar dynamo

The aim of this paper is to investigate the dynamical nature of the complexity observed in the time evolution of the sunspot number. We report a detailed analysis of the sunspot number time series, and use the daily records to build the phase space of the underlying dynamical system. The observed fe...

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Autores principales: Mininni, Pablo Daniel, Gomez, Daniel Osvaldo
Publicado: 2001
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00380938_v201_n2_p203_Mininni
http://hdl.handle.net/20.500.12110/paper_00380938_v201_n2_p203_Mininni
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00380938_v201_n2_p203_Mininni
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spelling paper:paper_00380938_v201_n2_p203_Mininni2023-06-08T15:02:35Z Simple model of a stochastically excited solar dynamo Mininni, Pablo Daniel Gomez, Daniel Osvaldo The aim of this paper is to investigate the dynamical nature of the complexity observed in the time evolution of the sunspot number. We report a detailed analysis of the sunspot number time series, and use the daily records to build the phase space of the underlying dynamical system. The observed features of the phase space prompted us to describe the global behavior of the solar cycle in terms of a noise-driven relaxation oscillator. We find the equations whose solutions best fit the observed series, which adequately describe the shape of the peaks and the oscillations of the system. The system of equations obtained from this fitting procedure is shown to be equivalent to a truncation of the dynamo equations. A linear transformation maps the phase space of these equations into the phase space reconstructed from the observations. The irregularities of the solar cycle were modeled through the introduction of a stochastic parameter in the equations to simulate the randomness arising in the process of eruption of magnetic flow to the solar surface. The mean values and deviations obtained for the periods, rise times and peak values, are in good agreement with the values obtained from the sunspot time series. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gomez, D.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00380938_v201_n2_p203_Mininni http://hdl.handle.net/20.500.12110/paper_00380938_v201_n2_p203_Mininni
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The aim of this paper is to investigate the dynamical nature of the complexity observed in the time evolution of the sunspot number. We report a detailed analysis of the sunspot number time series, and use the daily records to build the phase space of the underlying dynamical system. The observed features of the phase space prompted us to describe the global behavior of the solar cycle in terms of a noise-driven relaxation oscillator. We find the equations whose solutions best fit the observed series, which adequately describe the shape of the peaks and the oscillations of the system. The system of equations obtained from this fitting procedure is shown to be equivalent to a truncation of the dynamo equations. A linear transformation maps the phase space of these equations into the phase space reconstructed from the observations. The irregularities of the solar cycle were modeled through the introduction of a stochastic parameter in the equations to simulate the randomness arising in the process of eruption of magnetic flow to the solar surface. The mean values and deviations obtained for the periods, rise times and peak values, are in good agreement with the values obtained from the sunspot time series.
author Mininni, Pablo Daniel
Gomez, Daniel Osvaldo
spellingShingle Mininni, Pablo Daniel
Gomez, Daniel Osvaldo
Simple model of a stochastically excited solar dynamo
author_facet Mininni, Pablo Daniel
Gomez, Daniel Osvaldo
author_sort Mininni, Pablo Daniel
title Simple model of a stochastically excited solar dynamo
title_short Simple model of a stochastically excited solar dynamo
title_full Simple model of a stochastically excited solar dynamo
title_fullStr Simple model of a stochastically excited solar dynamo
title_full_unstemmed Simple model of a stochastically excited solar dynamo
title_sort simple model of a stochastically excited solar dynamo
publishDate 2001
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00380938_v201_n2_p203_Mininni
http://hdl.handle.net/20.500.12110/paper_00380938_v201_n2_p203_Mininni
work_keys_str_mv AT mininnipablodaniel simplemodelofastochasticallyexcitedsolardynamo
AT gomezdanielosvaldo simplemodelofastochasticallyexcitedsolardynamo
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