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Abstract:

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.

Registro:

Documento: Artículo
Título:Stochastic relaxation oscillator model for the solar cycle
Autor:Mininni, P.D.; Gómez, D.O.; Mindlin, G.B.
Ciudad:Woodbury, NY, United States
Filiación:Departamento de Física, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Inst. Astronomia y Fis. Espacio, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave: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
Año:2000
Volumen:85
Número:25
Página de inicio:5476
Página de fin:5479
DOI: http://dx.doi.org/10.1103/PhysRevLett.85.5476
Título revista:Physical Review Letters
Título revista abreviado:Phys Rev Lett
ISSN:00319007
CODEN:PRLTA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v85_n25_p5476_Mininni

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Citas:

---------- APA ----------
Mininni, P.D., Gómez, D.O. & Mindlin, G.B. (2000) . Stochastic relaxation oscillator model for the solar cycle. Physical Review Letters, 85(25), 5476-5479.
http://dx.doi.org/10.1103/PhysRevLett.85.5476
---------- CHICAGO ----------
Mininni, P.D., Gómez, D.O., Mindlin, G.B. "Stochastic relaxation oscillator model for the solar cycle" . Physical Review Letters 85, no. 25 (2000) : 5476-5479.
http://dx.doi.org/10.1103/PhysRevLett.85.5476
---------- MLA ----------
Mininni, P.D., Gómez, D.O., Mindlin, G.B. "Stochastic relaxation oscillator model for the solar cycle" . Physical Review Letters, vol. 85, no. 25, 2000, pp. 5476-5479.
http://dx.doi.org/10.1103/PhysRevLett.85.5476
---------- VANCOUVER ----------
Mininni, P.D., Gómez, D.O., Mindlin, G.B. Stochastic relaxation oscillator model for the solar cycle. Phys Rev Lett. 2000;85(25):5476-5479.
http://dx.doi.org/10.1103/PhysRevLett.85.5476