Abstract
In the present study, novel wavelet leaders (WL) based multifractal analysis has been used to get a better knowledge of the self-organization phenomena inherent in complex magnetospheric dynamics during disturbance and quiescent periods, focusing mainly on the intermittent features of auroral electrojet (AE) index. The results derived from the analysis certainly exhibit the phase transition property of magnetosphere system with respect to variabilities in the driving conditions. By using the novel WL method, solar activity dependence/independence of intermittency of magnetospheric proxies such as AE, SYM-H and Dst indices have been compared. The results indicate that the multifractality of AE index does not follow the solar activity cycle while intermittent features of SYM-H and Dst indices show high degree of solar activity dependence. This shows that along with the external solar wind perturbations, certain complex phenomena of internal origin also significantly modulate the dynamics of geomagnetic fluctuations in the auroral region.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ahn, B.-H., Kroehl, H.W., Kamide, Y., Kihn, E.A.: J. Geophys. Res. 62, 1301 (2000)
Angelopoulos, V., Kennel, C.F., Coroniti, F.V., Pellat, R., Kivelson, M.G., Walker, R.J., Russell, C.T., Baumjohann, W., Feldman, W.C., Gosling, J.T.: J. Geophys. Res. 99, 21257 (1994)
Aschwanden, M.: Self-Organized Criticality in Astrophysics: The Statistics of Nonlinear Processes in the Universe. Springer, Berlin (2011)
Bak, P., Tang, C., Wiesenfeld, K.: Phys. Rev. Lett. 59, 381 (1987)
Bak, P., Tang, C., Wiesenfeld, K.: Phys. Rev. A 38, 364 (1988)
Balan, N., Alleyne, H., Walker, S., Réme, H., Décréau, P.M.E., Balogh, A., André, M., Fazakerley, A.N., Cornilleau-Wehrlin, N., Gurnett, D., Fraenz, M.: Ann. Geophys. 24, 1015 (2006)
Balasis, G., Daglis, I., Kapiris, P., Mandea, M., Vassiliadis, D., Eftaxias, K.: Ann. Geophys. 24, 3557 (2006)
Bolzan, M.J.A., Rosa, R.R.: Ann. Geophys. 30, 1107 (2012)
Bunde, A., Havlin, S.: Fractals in Science. Springer, Berlin (1994)
Burlaga, L.F., Klein, L.W.: J. Geophys. Res. 91, 347 (1986)
Burlaga, L.F.: Interplanetary Magnetohydrodynamics. Oxford Univ. Press, New York (1995)
Chang, T.: IEEE Trans. Plasma Sci. 20, 691 (1992)
Chang, T.: Phys. Plasmas 6, 4137 (1999)
Consolini, G., Marcucci, M.F., Candidi, M.: Phys. Rev. Lett. 76, 4082 (1996)
Consolini, G.: Fractals 10, 275 (2002)
Consolini, G., Lui, A.T.Y.: Geophys. Res. Lett. 26, 1673 (1999)
Consolini, G., Chang, T.S.: Space Sci. Rev. 95, 309 (2001)
Consolini, G., De Michelis, P., Tozzi, R.: J. Geophys. Res. 113, A08222 (2008)
Consolini, G., De Michelis, P.: Nonlinear Process. Geophys. 18, 277 (2011)
Davis, T.N., Sugiura, M.: J. Geophys. Res. 71, 785 (1966)
Dobias, P., Wanliss, J.A.: Ann. Geophys. 27, 2011 (2009)
Eke, A., Herman, P., Sanganahalli, B.G., Hyder, F., Mukli, P., Nagy, Z.: Front. Physiol. 3, 417 (2012)
Feldstein, Y.I., Popov, V.A., Cumnock, J.A., Prigancova, A., Bloomberg, L.G., Kozyra, J.U., Tsurutani, B.T., Gromova, L.I., Levitin, A.E.: Ann. Geophys. 24, 2243 (2006)
Fougere, P.F.: Natl. Geogr. Res. 90, 4355 (1985)
Gannon, J.L., Love, J.J.: J. Atmos. Sol.-Terr. Phys. 73, 323 (2011)
Gonzalez, W.D., Joselyn, J.A., Kamide, Y., Kroehl, H.W., Rostoker, G., Tsurutani, B.T., Vasyliunas, V.M.: J. Geophys. Res. 99, 5771 (1994)
Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.-C., Tung, C.C., Liu, H.H.: Proc. R. Soc. Lond., Ser. A 454, 903 (1998)
Huang, N.E., Wu, M.L., Long, S.R., Shen, S.S., Qu, W.D., Gloersen, P., Fan, K.L.: Proc. R. Soc. Lond., Ser. A 459, 2317 (2003)
Huang, N.E., Wu, Z.: Rev. Geophys. 46, RG2006 (2008)
Iyemori, T.: J. Geomagn. Geoelectr. 42, 1249 (1990)
Jaffard, S., Meyer, Y., Ryan, R.D.: Wavelets, Tools for Science & Technology. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (2001)
Kantelhardt, J.W., Zschiegner, S.A., Koscielny-Bunde, E., Havlin, S., Bunde, A., Stanley, H.E.: Physica A 316, 87 (2002)
Klimas, A.J., Valdivia, J.A., Vassiliadis, D., Baker, D.N., Hesse, M., Takalo, J.: J. Geophys. Res. 105(A8), 765 (2000)
Lashermes, B., Roux, S.G., Abry, P., Jaffard, S.: Eur. Phys. J. B 61, 201 (2008)
Lashermes, B., Jaffard, S., Abry, P.: Proc. IEEE Int. Conf. Acoust. Speech Signal 4, 161 (2005)
Liaw, S.S., Chiu, F.Y.: Physica A 388, 3100 (2009)
Lui, A.T.Y., Chapman, S.C., Liou, K., Newell, P.T., Meng, C.I., Brittnacher, M., Parks, G.D.: Geophys. Res. Lett. 27, 911 (2000)
Lundin, R., Aparicio, B., Yamauchi, M.: J. Geophys. Res. 106, 13023 (2001)
Macek, W.M.: Nonlinear Process. Geophys. 14, 695 (2007)
Macek, W.M., Redaelli, S.: Phys. Rev. E 62, 6496 (2000)
Macek, W.M., Wawrzaszak, A.: Nonlinear Process. Geophys. 18, 287 (2011)
Mallat, S.: A Wavelet Tour of Signal Processing (Wavelet Analysis & Its Applications). Academic Press, San Diego (1999)
Monin, A.S., Yaglom, A.M.: Statistical Fluid Mechanics, vol. 2. MIT Press, Cambridge (1975)
Oświęcimka, P., Kwapién, J., Drożdż, S.: Phys. Rev. E 74, 8 (2006)
Pavlos, G.P., Karakatsanis, L.P., Xenakis, M.N., Sarafopoulos, D., Pavlos, E.G.: Physica A 391, 3069 (2012)
Pulkkinen, A., Klimas, A., Vassiliadis, D., Uritsky, V.: J. Geophys. Res. 111 (2006). doi:10.1029/2006JA011661
Rypdal, M., Rypdal, K.: J. Geophys. Res. 115, A11216 (2010)
Sagdeev, R.Z.: Nonlinear Space Plasma Physics. Am. Inst. of Physics, New York (1993)
Serrano, E., Figliola, A.: Physica A 388, 2793 (2009)
Shao, Y.H., Gu, G.F., Jiang, Z.Q., Zhou, W., Sornette, D.: Sci. Rep. 2, 835 (2012)
Sitnov, M.I., Sharma, A.S., Papadopoulos, K., Vassiliadis, D.: Phys. Rev. E 65, 016116 (2001)
Toledo, B.A., Chian, A.C.-L., Rempel, E.L., Miranda, R.A., Muñoz, P.R., Valdivia, J.A.: Phys. Rev. E 87, 022821 (2013)
Uritsky, V.M., Pudovkin, M.I.: Ann. Geophys. 28, 1580 (1998)
Uritsky, V.M., Klimas, A.J.: J. Geophys. Res. 107(A12), 1426 (2002)
Uritsky, V.M., Donovan, E., Klimas, A.J., Spanswick, E.: Geophys. Res. Lett. 35, L21101 (2008)
Valdivia, J.A., Rogan, J., Muñoz, V., Toledo, B.A., Stepanova, M.: Adv. Space Res. 51, 1934 (2012)
Vörös, Z.: Ann. Geophys. 18, 1273 (2000)
Wanliss, J.: J. Geophys. Res. 110, A03202 (2005)
Wanliss, J.A., Anh, V.V., Yu, Z.G., Watson, S.: J. Geophys. Res. 110, A08214 (2005)
Wendt, H., Abry, P., Jaffard, S.: IEEE Signal Process. Mag. 24, 38 (2007)
Wendt, H., Roux, S.G., Jaffard, S., Abry, P.: Signal Process. 89, 1100 (2009)
Wu, Z., Huang, N.E.: Adv. Adapt. Data Anal. 1, 1 (2009)
Xu, L.M., Ivanov, P.C., Hu, K., Chen, Z., Carbone, A., Stanley, H.E.: Phys. Rev. E 71, 051101 (2005)
Acknowledgements
The author expresses sincere gratitude for the valuable comments and suggestions of the anonymous referee, which have led to significant improvement in the quality of the manuscript. The Author also thanks World Data Center for Geomagnetism, Kyoto, Japan for providing auroral index data and USGS for providing 1-min Dst data. The author also shows gratefulness towards Dr. Prince P.R, Assistant Professor, Govt. Arts College, Trivandrum for his support in the present work. The author also acknowledges JRF from University of Kerala, Trivandrum.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gopinath, S. Multifractal features of magnetospheric dynamics and their dependence on solar activity. Astrophys Space Sci 361, 290 (2016). https://doi.org/10.1007/s10509-016-2870-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-016-2870-5