Stochastic relaxation oscillator model for the solar cycle
The authors used the daily sunspot number to reconstruct the phase space of the underlying dynamical system and build a simple model of the solar cycle. The lack of systematic self-crossings in the reconstructed phase space allows them to propose a two-dimensional phase space to describe the determi...
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2000
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v85_n25_p5476_Mininni http://hdl.handle.net/20.500.12110/paper_00319007_v85_n25_p5476_Mininni |
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paper:paper_00319007_v85_n25_p5476_Mininni2023-06-08T14:58:32Z Stochastic relaxation oscillator model for the solar cycle Mininni, Pablo Daniel Gomez, Daniel Osvaldo Chaos theory Degrees of freedom (mechanics) Magnetic field effects Magnetic fields Phase space methods Random processes Solar system Space research Two dimensional Dynamic equations Solar cycle Stochastic relaxation oscillator Sunspot Van der Pol oscillator Relaxation oscillators The authors used the daily sunspot number to reconstruct the phase space of the underlying dynamical system and build a simple model of the solar cycle. The lack of systematic self-crossings in the reconstructed phase space allows them to propose a two-dimensional phase space to describe the deterministic part of the dynamics of the solar cycle. The features of the phase space thus obtained supports a description of the global behavior of the solar cycle in terms of a Van der Pol oscillator. The authors adjusted the free parameters in the equations using the so-called standard form. They find that the Van der Pol oscillator that best fits the observed series is able to describe the main features of the observations quite adequately. The irregularities of the solar cycle were reasonably modeled through the introduction of a stochastic parameter in the equations. The mean values and deviations obtained from the theoretical model for the rising times, periods, and peak values, are in good agreement with the corresponding values obtained from the observations. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gómez, D.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v85_n25_p5476_Mininni http://hdl.handle.net/20.500.12110/paper_00319007_v85_n25_p5476_Mininni |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Chaos theory Degrees of freedom (mechanics) Magnetic field effects Magnetic fields Phase space methods Random processes Solar system Space research Two dimensional Dynamic equations Solar cycle Stochastic relaxation oscillator Sunspot Van der Pol oscillator Relaxation oscillators |
| spellingShingle |
Chaos theory Degrees of freedom (mechanics) Magnetic field effects Magnetic fields Phase space methods Random processes Solar system Space research Two dimensional Dynamic equations Solar cycle Stochastic relaxation oscillator Sunspot Van der Pol oscillator Relaxation oscillators Mininni, Pablo Daniel Gomez, Daniel Osvaldo Stochastic relaxation oscillator model for the solar cycle |
| topic_facet |
Chaos theory Degrees of freedom (mechanics) Magnetic field effects Magnetic fields Phase space methods Random processes Solar system Space research Two dimensional Dynamic equations Solar cycle Stochastic relaxation oscillator Sunspot Van der Pol oscillator Relaxation oscillators |
| description |
The authors used the daily sunspot number to reconstruct the phase space of the underlying dynamical system and build a simple model of the solar cycle. The lack of systematic self-crossings in the reconstructed phase space allows them to propose a two-dimensional phase space to describe the deterministic part of the dynamics of the solar cycle. The features of the phase space thus obtained supports a description of the global behavior of the solar cycle in terms of a Van der Pol oscillator. The authors adjusted the free parameters in the equations using the so-called standard form. They find that the Van der Pol oscillator that best fits the observed series is able to describe the main features of the observations quite adequately. The irregularities of the solar cycle were reasonably modeled through the introduction of a stochastic parameter in the equations. The mean values and deviations obtained from the theoretical model for the rising times, periods, and peak values, are in good agreement with the corresponding values obtained from the observations. |
| author |
Mininni, Pablo Daniel Gomez, Daniel Osvaldo |
| author_facet |
Mininni, Pablo Daniel Gomez, Daniel Osvaldo |
| author_sort |
Mininni, Pablo Daniel |
| title |
Stochastic relaxation oscillator model for the solar cycle |
| title_short |
Stochastic relaxation oscillator model for the solar cycle |
| title_full |
Stochastic relaxation oscillator model for the solar cycle |
| title_fullStr |
Stochastic relaxation oscillator model for the solar cycle |
| title_full_unstemmed |
Stochastic relaxation oscillator model for the solar cycle |
| title_sort |
stochastic relaxation oscillator model for the solar cycle |
| publishDate |
2000 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v85_n25_p5476_Mininni http://hdl.handle.net/20.500.12110/paper_00319007_v85_n25_p5476_Mininni |
| work_keys_str_mv |
AT mininnipablodaniel stochasticrelaxationoscillatormodelforthesolarcycle AT gomezdanielosvaldo stochasticrelaxationoscillatormodelforthesolarcycle |
| _version_ |
1768543267086925824 |