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Order and Chaos in the Solar Cycle

Published online by Cambridge University Press:  08 February 2017

A.A. Ruzmaikin
A.A. Ruzmaikin*
Affiliation:
Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation Academy of Sciences USSR 142092, Troitsk, Moscow Region, USSR

Abstract

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Solar activity varying with an 11-year cycle is chaotic at large time scales. The evidence comes from an analysis of observations of the sunspot number and of radioactive carbon. Thereby an estimate of the dimension of the solar attractor can be obtained.

The origin of the sunspots can be associated with the interactions of the regular, large-scale, chaotic, and intermittent magnetic fields.

Type
VI. Generation of Solar Magnetic Fields
Information
Symposium - International Astronomical Union , Volume 138: Solar Photosphere: Structure, Convection and Magnetic Fields , 1990 , pp. 343 - 353
Copyright
Copyright © Kluwer 1990 

References

Brandenburg, A. and Tuominen, I. (1988) ‘Variation of magnetic field and flows during the solar cycle’, COSPAR paper No. 12.4.6, Espoo, Finland.Google Scholar
Bray, R.J. and Loughead, R.E. (1964), Sunspots , Chapman and Hall Ltd., London.Google Scholar
Damon, P. and Sonett, C.P. (1989) ‘The spectrum of radiocarbon’, in Proc. Int. Conf. ‘Sun in Time’, Arizona Univ. Press, Tucson.Google Scholar
Eddy, J.A. (1976) ‘The Maunder Minimum’, Science 192, 1189–1202.Google Scholar
Galloway, D.J., Proctor, M.R.E., and Weiss, N.O. (1977) ‘Formation of the intense magnetic fields near the surface of the Sun’, Nature 266, 686–692.Google Scholar
Gizzatulina, S.M., Ruzmaikin, A.A., Rukavishnikov, V.D., and Tavastsherna, K.S. (1988) ‘Radiocarbon evidence of global stochasticity of solar activity’, Preprint 40 (794), IZMIRAN, Moscow (submitted to Solar Phys.).Google Scholar
Grassberger, P. and Procaccia, I. (1983) ‘Measuring the strangeness of strange attractors’, Physica , D9. 189–208.Google Scholar
Gudzenko, L.L. and Chertoprud, V.E. (1964) ‘Some dynamical properties of solar activity’, Soviet Astron. 41, 697–706.Google Scholar
Kleeorin, N.I. and Ruzmaikin, A.A. (1984a) ‘On the nature of 11-year torsional oscillations of the Sun’, Pisma Astron.Zh. (USSR) 10, 925–935.Google Scholar
Kleeorin, N.I. and Ruzmaikin, A.A. (1984b) ‘Mean-field dynamo with cubic non-linearity’, Astron. Nachr. 305, 265–275.Google Scholar
Kleeorin, N.I. and Ruzmaikin, A.A. (1989) ‘Large-scale flows excited by magnetic fields in the solar convective zone’, Preprint, IZMIRAN, Moscow.Google Scholar
Kleeorin, N.I., Ruzmaikin, A.A., and Sokoloff, D.D. (1986) ‘Correlation properties of self-exciting fluctuating magnetic fields’, Proc. Varenna-Abastumani Int. School ‘Plasma Astrophysics’, ESA SP-251-ISSN 0379-6566; (1988) Kinematics and Physics of Celestial Bodies 4, 28–35.Google Scholar
Krause, F. and Rädler, K.-H. (1980) Mean-field magnetohydrodynamics and dynamo theory , Akademie-Verlag, Berlin.Google Scholar
Kürths, J. (1987) ‘Estimating parameters of attractors in some astrophysical time series’, in Forkas, M. (ed.), Proc. Int. Conf. on Nonlinear Oscillations, Budapest, pp.664–667.Google Scholar
LaBonte, B.J. and Howard, R. (1982) ‘Torsional waves on the sun and the activity cycle’, Solar Phys. 75, 161–178.Google Scholar
Lorenz, E.N. (1963) ‘Deterministic nonperiodic flow’, J. Atmosph. Sci. 20, 130–141.Google Scholar
Makarenko, N.G. and Ajmanova, G.K. (1989) ‘K entropy and dimension of solar attractor’, submitted to Pisma Astron. Zh. Google Scholar
Makarov, V.I., Ruzmaikin, A.A., and Starchenko, S.V. (1987) ‘Magnetic waves of solar activity’, Solar Phys. 111, 267–277.CrossRefGoogle Scholar
Malinetsky, G.G., Ruzmaikin, A.A., and Samarsky, A.A. (1986) ‘A model of longperiodic variations of solar activity’, Preprint No. 170, Keldysh Inst. of Appl. Math., Moscow.Google Scholar
Molchanov, S.A., Ruzmaikin, A.A., and Sokoloff, D.D. (1985) ‘Kinematic dynamo in random flow’, Sov. Phys. Uspekhy 145, 593–628.Google Scholar
Morfill, G. and Voges, W. (1989) ‘The solar cycle: Deterministic or chaotic’, in Proc. Int. Conf. ‘Sun in Time’, Arizona Univ. Press, Tucson.Google Scholar
Muller, R. (1985) ‘The fine structure of the quiet Sun’, Solar Phys. 100, 237–255.Google Scholar
Parker, E.N. (1979) Cosmic Magnetic Fields , Clarendon Press, Oxford.Google Scholar
Rüdiger, G., Tuominen, I., Krause, F., and Virtanen, H. (1986) ‘Dynamo-generated flows in the Sun: 1. Foundation and first results’, Astron. Astrophys. 166, 306–318.Google Scholar
Ruzmaikin, A.A. (1981) ‘Solar cycle as strange attractor’, Comments on Astrophys. 9, 85–93.Google Scholar
Ruzmaikin, A.A. (1985) ‘The solar dynamo’, Solar Phys. 100, 125–140.Google Scholar
Spruit, H.C. (1974) ‘A model of the solar convection zone’, Solar Phys. 34, 277–290.CrossRefGoogle Scholar
Stenflo, J.O. (1988) ‘Global wave patterns in the Sun's magnetic field’, Astrophys. Space Sci. 144, 321–336.Google Scholar
Suess, H.E. (1965) ‘Secular variations of cosmic-ray produced carbon 14 in the atmosphere and their interpretations’, J. Geophys. Res. 70, 5937–5952.Google Scholar
Suess, H.E. (1978) Radiocarbon 20, 1–18.CrossRefGoogle Scholar
Tuominen, J., Tuominen, I., and Kyrolinen, J. (1983) ‘Eleven-year cycle in solar rotation and meridional motions as derived from the positions of sunspot groups’, Mon. Not. Royal Astron. Soc. 205, 691–704.Google Scholar
Weiss, N.O., Cattaneo, F., and Jones, C.A. (1984) ‘Periodic and aperiodic dynamo waves’, Geophys. Astrophys. Fluid. Dyn. 30, 305–341.Google Scholar
Yoshimura, H. (1975) ‘Solar cycle dynamo wave propagation’, Astrophys. J. 201, 740–748.Google Scholar
Zeldovich, Ya.B. and Ruzmaikin, A.A. (1983) ‘Dynamo problems in astrophysics’, Astrophys. and Space Phys. Rev. 2, 333–383.Google Scholar
Zeldovich, Ya.B., Molchanov, S.A., Ruzmaikin, A.A., and Sokoloff, D.D. (1987) ‘Intermittency in random medium’, Sov. Phys. Uspekhi. 152, 3–32.Google Scholar