Geomagnetism and Aeronomy

, Volume 58, Issue 7, pp 893–898 | Cite as

Analysis of Oscillatory Modes of the Magnetic Field of Solar Facular Formations

  • P. V. StrekalovaEmail author
  • Yu. A. Nagovitsyn
  • V. V. Smirnova


Quasi-periodical variations in the magnetic fields of long-living, small-scale magnetic structures, solar facular formations (FFs), are analyzed. We used the method of Empirical Mode Decomposition (EMD) to reveal the empirical modes of time series of magnetic field variations in four FFs and tested them for the existence of coloured noise. We proposed a qualitative interpretation of statistically reliable oscillatory modes.



This work was supported in part by the Russian Foundation for Basic Research (grant nos. 16-02-00090, 18-02-00168, 18-32-00555) and by the Program of the Presidium of the Russian Academy of Sciences no. 28.


  1. 1.
    Chelpanov, A.A., Kobanov, N.I., and Kolobov, D.Y. Characteristics of oscillations in magnetic knots of solar faculae, Astron. Rep., 2015, vol. 59, no. 10, pp. 968–973.CrossRefGoogle Scholar
  2. 2.
    Couvidat, S., Schou, J., Shine, R.A., et al., Wavelength dependence of the Helioseismic and Magnetic Imager (HMI) instrument onboard the Solar Dynamics Observatory (SDO), Sol. Phys., 2012, vol. 275, pp. 285–325.CrossRefGoogle Scholar
  3. 3.
    Flandrin, P., Rilling, G., and Goncalves, P., Empirical mode decomposition as a filter bank, IEEE Signal Process. Lett., 2004, vol. 11, no. 2, pp. 112–114.CrossRefGoogle Scholar
  4. 4.
    Gelfreikh, G.B., Nagovitsyn, Y.A., and Nagovitsyna, E.Y., Quasi-periodic oscillations of microwave emission in solar active regions, Publ. Astron. Soc. Jpn., 2006, vol. 58, pp. 29–35.CrossRefGoogle Scholar
  5. 5.
    Huang, N.E., Shen, Z., Long, S.R., et al., The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, Proc. R. Soc. London, Ser. A, 1998, vol. 454, pp. 903–995.CrossRefGoogle Scholar
  6. 6.
    Jess, D.B. and Verth, G., Ultra-high-resolution observations of MHD waves in photospheric magnetic structures, in Low-Frequency Waves in Space Plasmas, Wiley, 2006, vol. 216, pp. 449–465.Google Scholar
  7. 7.
    Kobanov, N.I. and Pulyaev, V.A., Features of spatial distribution of oscillations in faculae regions, Sol. Phys., 2011, vol. 268, no. 2, pp. 329–334.CrossRefGoogle Scholar
  8. 8.
    Kolotkov, D.Y., Smirnova, V.V., Strekalova, P.V., Riehokainen, A., and Nakariakov, V.M., Long-period quasi-periodic oscillations of a small-scale magnetic structure on the Sun, Astron. Astrophys., 2017, vol. 598, id L2.Google Scholar
  9. 9.
    Kostik, R., & Khomenko E. The possible origin of facular brightness in the solar atmosphere Astron. Astrophys., V589, id. A6, 7 PP., 2016.Google Scholar
  10. 10.
    Martínez González, M.J., Asensio Ramos, A., Manso Sainz, R., et al., Unnoticed magnetic field oscillations in the very quiet Sun revealed by SUNRISE/IMaX, Astron. J. Lett., 2011, vol. 730, no. 2, id. L37.Google Scholar
  11. 11.
    Nagovitsyn, Yu.A. and Nagovitsyna, E.Yu., Long-period oscillation processes in sunspot groups (ground-based and exoatmospheric observations), Geomagn. Aeron. (Engl. Transl.), 2011, vol. 51, no. 8, pp. 1049–1053.Google Scholar
  12. 12.
    Nakariakov, V.M., Aschwanden, M.J., and van Doorsselaere, T., The possible role of vortex shedding in the excitation of kink-mode oscillations in the solar corona, Astron. Astrophys., 2009, vol. 502, pp. 661–664.CrossRefGoogle Scholar
  13. 13.
    Solov’ev, A. and Kirichek, E., Basic properties of sunspots: Equilibrium, stability and long-term eigen oscillations, Astrophys. Space Sci., 2014, vol. 352, no. 1, pp. 23–42.CrossRefGoogle Scholar
  14. 14.
    Strekalova, P.V., Nagovitsyn, Yu.A., Riekhokainen, A., and Smirnova, V.V., Temporal variations in the magnetic field of solar flares, in Solnechnaya i solnechno–zemnaya fizika-2015. Trudy konferentsii (Solar and Solar–Terrestrial Physics-2015: Proceedings of Conference), 2015, pp. 339–342.Google Scholar
  15. 15.
    Strekalova, P.V., Nagovitsyn, Yu.A., Riehokainen, A., and Smirnova, V.V., Long-period variations in the magnetic field of small-scale solar structures, Geomagn. Aeron. (Engl. Transl.), 2016, vol. 56, no. 8, pp. 1052–1059.Google Scholar
  16. 16.
    Wu, Z. and Huang, N.E., A study of the characteristics of white noise using the empirical mode decomposition method, R. Soc. London, Proc. Ser. A, 2004, vol. 460, no. 2046, pp. 1597–1611.CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • P. V. Strekalova
    • 1
    Email author
  • Yu. A. Nagovitsyn
    • 1
    • 2
  • V. V. Smirnova
    • 1
  1. 1.Central Astronomical Observatory at Pulkovo of the Russian Academy of SciencesSt. PetersburgRussia
  2. 2.St. Petersburg State University of Aerospace InstrumentationSt. PetersburgRussia

Personalised recommendations