Abstract:
In the present study we address the issue of discerning between deterministic and stochastic paradigms in order to understand the behavior of the solar cycle. To this end we show the degree of correlation between the instantaneous amplitude and frequency in the sunspot number time series by the use of the Gabor analytic signal. We compare this correlation with those arising from two theoretical models: (a) the Barnes model of widespread use in the literature and (b) a spatial truncation of the MHD equations. We show that comparisons between the correlation observed in the sunspot time series with those arising from theoretical models can be used to refute one of the models.
Registro:
Documento: |
Artículo
|
Título: | Instantaneous phase and amplitude correlation in the solar cycle |
Autor: | Mininni, P.D.; Gomez, D.O.; Mindlin, G.B. |
Filiación: | Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, C. Universitaria, 1428 Buenos Aires, Argentina Inst. Astro./Fis. Espacio (CONICET), C. Universitaria, 1428 Buenos Aires, Argentina
|
Año: | 2002
|
Volumen: | 208
|
Número: | 1
|
Página de inicio: | 167
|
Página de fin: | 179
|
DOI: |
http://dx.doi.org/10.1023/A:1019658530185 |
Título revista: | Solar Physics
|
Título revista abreviado: | Sol. Phys.
|
ISSN: | 00380938
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00380938_v208_n1_p167_Mininni |
Referencias:
- Balakrishnan, A.V., (1968) Communication Theory, , McGraw-Hill, New York
- Barnes, J.A., Sargent H.H. III, Tryon, P.V., (1980) Proc. Conf. Ancient Sun, p. 159. , R. O. Pepin, J. A. Eddy, and R. B. Merrill (eds.), Pergamon Press, New York
- Bracewell, R.N., (1985) Australian Journal of Physics, 38, p. 1009
- Carbonell, M., Oliver, R., Ballester, J.L., (1994) Astron. Astrophys., 290, p. 983
- Charbonneau, P., Dikpati, M., (2000) Astrophys. J., 543, p. 1027
- Dämming, M., Mitschke, F., (1993) Phys. Lett. A, 178, p. 385
- Dicke, R.H., (1978) Nature, 276, p. 676
- Dicke, R.H., (1979) Nature, 280, p. 24
- Farmer, J.D., (1981) Phys. Rev. Lett., 47, p. 179
- Foukal, P., (1990) Solar Astrophysics, , John Wiley & Sons, New York
- Gabor, D., (1946) JIEE (London), 93, p. 429
- Gilmore, R., (1998) Rev. Mod. Phys., 70, p. 1455
- Guckenheimer, J., Holmes, P., (1997) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, , Springer-Verlag, New York
- Holmes, P., Lumley, J.L., Berkooz, G., (1996) Turbulence, Coherent Structures, Dynamical Systems, and Symmetry, , Cambridge University Press, Cambridge
- Hoyng, P., (1993) Astron. Astrophys., 272, p. 321
- Hoyng, P., (1996) Solar Phys., 169, p. 253
- Knobloch, E., Landsberg, A.S., (1995) Monthly Notices Roy. Astron. Soc., 278, p. 294
- Mandel, L., Wolf, E., (1965) Rev. Mod. Phys., 37, p. 231
- Mindlin, G.B., Merener, N., Boyd, P.T., (1998) Europhys. Lett., 42, p. 31
- Mininni, P.D., Gómez, D.O., Mindlin, G.B., (2000) Phys. Rev. Lett., 85, p. 5476
- Mininni, P.D., Gómez, D.O., Mindlin, G.B., (2001) Solar Phys., 201, p. 203
- Ossendrijver, A.J.H., Hoyng, P., (1996) Astron. Astrophys., 313, p. 959
- Paluš, M., (1998) Nonlinear Analysis of Physiological Data, p. 49. , H. Kantz, J. Kurths, and G. Mayer-Kress (eds.), Springer-Verlag, Heidelberg
- Paluš, M., Novotná, D., (1999) Phys. Rev. Lett., 83, p. 3406
- Pikovsky, A.S., Rosenblum, M.G., Osipov, G.V., Kurths, J., (1997) Physica A, 104, p. 219
- Polygiannakis, J., Moussas, X., (1996) Solar Phys., 163, p. 193
- Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T., (1986) Numerical Recipes: The Art of Scientific Computing, , Cambridge University Press, Cambridge
- Priest, E.R., (1984) Solar Magnetohydrodynamics, , D. Reidel Publ. Co., Dordrecht, Holland
- Rosenblum, M.G., Pikovsky, A.S., Kurths, J., (1996) Phys. Rev. Lett., 76, p. 1804
- Schwabe, S.H., (1843) Astron. Nachr, 20, p. 283
- Smith, L.A., (1997) Past and Present Variability of the Solar-Terrestrial System: Measurement, Data Analysis and Theoretical Models, p. 177. , G. Cini Castagnoli and A. Provenzale (eds.), IOS Press Ohmsha, Amsterdam
- Theiler, J., (1986) Phys. Rev. A, 34, p. 2427
- Waldmeier, M., (1935) Astron. Mitt. Zürich, 133, p. 105
- Weiss, N.O., Cattaneo, F., Jones, C.A., (1984) Geophys. Astrophys. Fluid Dyn., 30, p. 305
- Yoshimura, H., (1978) Astrophys. J., 226, p. 706
- Zeldovich, Ya.B., Ruzmaikin, A.A., (1990) Magnetic Fields in Astrophysics, , Gordon and Breach, New York
Citas:
---------- APA ----------
Mininni, P.D., Gomez, D.O. & Mindlin, G.B.
(2002)
. Instantaneous phase and amplitude correlation in the solar cycle. Solar Physics, 208(1), 167-179.
http://dx.doi.org/10.1023/A:1019658530185---------- CHICAGO ----------
Mininni, P.D., Gomez, D.O., Mindlin, G.B.
"Instantaneous phase and amplitude correlation in the solar cycle"
. Solar Physics 208, no. 1
(2002) : 167-179.
http://dx.doi.org/10.1023/A:1019658530185---------- MLA ----------
Mininni, P.D., Gomez, D.O., Mindlin, G.B.
"Instantaneous phase and amplitude correlation in the solar cycle"
. Solar Physics, vol. 208, no. 1, 2002, pp. 167-179.
http://dx.doi.org/10.1023/A:1019658530185---------- VANCOUVER ----------
Mininni, P.D., Gomez, D.O., Mindlin, G.B. Instantaneous phase and amplitude correlation in the solar cycle. Sol. Phys. 2002;208(1):167-179.
http://dx.doi.org/10.1023/A:1019658530185