Open Access
J. Space Weather Space Clim.
Volume 7, 2017
Article Number A5
Number of page(s) 13
Published online 27 February 2017
  • Abarbanel, H.D., R. Brown, J.J. Sidorowich, and L.S. Tsimring. The analysis of observed chaotic data in physical systems. Rev. Mod. Phys., 65 (4), 1331, 1993. [NASA ADS] [CrossRef]
  • Baker, D., and S. Kanekal. Solar cycle changes, geomagnetic variations, and energetic particle properties in the inner magnetosphere. J. Atmos. Sol. Terr. Phys., 70 (2), 195–206, 2008. [CrossRef]
  • Benz, A.O. 4.1. 1.6 Radio emission of the quiet Sun. In: Solar system, 103–115, Springer, 2009. [CrossRef]
  • Charbonneau, P. Solar dynamo theory. Ann. Rev. Astr. Astrophys., 52, 251–290, 2014, DOI: 10.1146/annurev-astro-081913-040012. [NASA ADS] [CrossRef]
  • Clette, F., and L. Lefèvre. The new Sunspot Number: assembling all corrections. Sol. Phys., 291, 2629–2651, 2015, DOI: 10.1007/s11207-016-1014-y. [CrossRef]
  • Clette, F., L. Svalgaard, J.M. Vaquero, and E.W. Cliver. Revisiting the Sunspot Number. A 400-year perspective on the solar cycle. Space Sci. Rev., 186, 35–103, 2014, DOI: 10.1007/s11214-014-0074-2. [NASA ADS] [CrossRef]
  • Cliver, E., F. Clette, and L. Svalgaard. Recalibrating the sunspot number (SSN): the SSN workshops. Cent. Eur. Astrophys. Bull., 37 (2), 401–416, 2013.
  • Cliver, E., F. Clette, L. Svalgaard, and J. Vaquero. Recalibrating the Sunspot Number (SN): the 3rd and 4th SN workshops. Cent. Eur. Astrophys. Bull., 39, 1–19, 2015.
  • Consolini, G., R. Tozzi, and P. de Michelis. Complexity in the sunspot cycle. A&A, 506, 1381–1391, 2009, DOI: 10.1051/0004-6361/200811074. [CrossRef] [EDP Sciences]
  • Deng, L. Nonlinear dynamics recognition in solar time series based on recurrence plot techniques. In: Information Science and Control Engineering (ICISCE), 2015 2nd International Conference on, IEEE, 843–847, 2015.
  • Deng, L., B. Li, Y. Zheng, and X. Cheng. Relative phase analyses of 10.7 cm solar radio flux with sunspot numbers. New Astron., 23, 1–5, 2013. [CrossRef]
  • Dudok de Wit, T. A method for filling gaps in solar irradiance and solar proxy data. A&A, 533, A29, 2011. [CrossRef] [EDP Sciences]
  • Eckmann, J.P., S.O. Kamphorst, and D. Ruelle. Recurrence plots of dynamical systems. Europhys. Lett., 4 (9), 973, 1987. [NASA ADS] [CrossRef]
  • Ermolli, I., K. Shibasaki, A. Tlatov, and L. van Driel-Gesztelyi. Solar Cycle Indices from the photosphere to the corona: measurements and underlying physics. Space Sci. Rev., 186, 105–135, 2014. [NASA ADS] [CrossRef]
  • Fredkin, D.R., and J.A. Rice. Method of false nearest neighbors. A cautionary note. Phys. Rev. E: Stat. Phys., Plasmas, Fluids, 51 (4), 2950, 1995. [CrossRef]
  • Gao, P.X. Long-term trend of sunspot numbers. Astrophys. J., 830 (2), 140, 2016, URL [CrossRef]
  • Ghosh, O., and T. Chatterjee. On the signature of chaotic dynamics in 10.7 cm daily solar radio flux. Sol. Phys., 290 (11), 3319–3330, 2015. [CrossRef]
  • Hanslmeier, A., and R. Brajša. The chaotic solar cycle. I. Analysis of cosmogenic 14C data. 509, A5, 2010, DOI: 10.1051/0004-6361/200913095.
  • Hanslmeier, A., R. Brajša, J. Čalogović, B. Vršnak, D. Ruždjak, F. Steinhilber, C.L. MacLeod, Ž. Ivezić, and I. Skokić. The chaotic solar cycle. II. Analysis of cosmogenic 10Be data. A&A, 550, A6, 2013, DOI: 10.1051/0004-6361/201015215. [NASA ADS] [CrossRef] [EDP Sciences]
  • Hapgood, M. Astrophysics: prepare for the coming space weather storm. Nature, 484 (7394), 311–313, 2012.
  • Hathaway, D.H. The solar cycle. Living Rev. Sol. Phys., 7, 1, 2010, DOI: 10.12942/lrsp-2010-1. [NASA ADS] [CrossRef]
  • Hathaway, D.H., and R.M. Wilson. What the sunspot record tells us about space climate. Sol. Phys., 224, 5–19, 2004. [NASA ADS] [CrossRef]
  • Huang, N.E., Z. Shen, S.R. Long, M.C. Wu, H.H. Shih, Q. Zheng, N.C. Yen, C.C. Tung, and H.H. Liu. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. of Lon. A, 454 (1971), 903–995, 1998, DOI: 10.1098/rspa.1998.0193. [NASA ADS] [CrossRef] [MathSciNet]
  • Iwanski, J.S., and E. Bradley. Recurrence plots of experimental data: to embed or not to embed? Chaos, 8 (4), 861–871, 1998. [CrossRef]
  • Jones, G.S., M. Lockwood, and P.A. Stott. What influence will future solar activity changes over the 21st century have on projected global near-surface temperature changes? J. Geophys. Res. [Atmos.] (1984–2012), 117, D5, 2012, DOI: 10.1029/2011JD017013.
  • Kac, M. On the notion of recurrence in discrete stochastic processes. Bull. Amer. Math. Soc., 53 (10), 1002–1010, 1947. [CrossRef] [MathSciNet]
  • Karak, B.B., J. Jiang, M.S. Miesch, P. Charbonneau, and A.R. Choudhuri. Flux transport dynamos: from kinematics to dynamics. Space Sci. Rev., 186, 561–602, 2014, DOI: 10.1007/s11214-014-0099-6. [NASA ADS] [CrossRef]
  • Kennel, M.B., R. Brown, and H.D. Abarbanel. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A: At. Mol. Opt. Phys., 45, 3403, 1992. [NASA ADS] [CrossRef] [PubMed]
  • Lefèvre, L., and F. Clette. Survey and merging of sunspot catalogs. Sol. Phys., 289 (2), 545–561, 2014. [CrossRef]
  • Li, Q. Periodicity and hemispheric phase relationship in high-latitude solar activity. Sol. Phys., 249 (1), 135–145, 2008. [CrossRef]
  • Ma, H.-G., and C.-Z. Han. Selection of embedding dimension and delay time in phase space reconstruction. Front. Electr. Electron. Eng. Chin., 1 (1), 111–114, 2006. [CrossRef]
  • Marwan, N. Encounters with neighbours: current developments of concepts based on recurrence plots and their applications, University of Potsdam, 2003.
  • Marwan, N. How to avoid potential pitfalls in recurrence plot based data analysis. Int. J. Bifurcation Chaos, 21 (04), 1003–1017, 2011. [CrossRef]
  • Marwan, N., M. CarmenRomano, M. Thiel, and J. Kurths. Recurrence plots for the analysis of complex systems. Phys. Rep., 438 (5), 237–329, 2007. [NASA ADS] [CrossRef] [MathSciNet]
  • Marwan, N., and J. Kurths. Cross recurrence plots and their applications. In: C.V. Benton, Editor. Mathematical physics research at the cutting edge, , Nova Science Publisher, Inc., 101–139, ISBN 1-59033-939-8, 2004.
  • Marwan, N., S. Schinkel, and J. Kurths. Recurrence plots 25 years later gaining confidence in dynamical transitions. Europhys. Lett., 101 (2), 20007, 2013. [CrossRef] [EDP Sciences]
  • Pastorek, L., and Z. Vörös. Nonlinear analysis of solar cycle variability. In: A. Wilson, Editor. Solar variability: from core to outer frontiers, vol. 506, ESA Special Publication, Noordwijk 197–200, 2002.
  • Poincaré, H. Sur le probleme des trois corps et les équations de la dynamique. Acta Math., 13 (1), A3–A270, 1890.
  • Rhodes, C., and M. Morari. False-nearest-neighbors algorithm and noise-corrupted time series. Phys. Rev. E: Stat. Phys., Plasmas, Fluids, 55 (5), 6162, 1997. [NASA ADS] [CrossRef]
  • Schinkel, S., O. Dimigen, and N. Marwan. Selection of recurrence threshold for signal detection. Euro. Phys. J. Special Top., 164 (1), 45–53, 2008. [CrossRef] [EDP Sciences]
  • Schrijver, C.J. Socio-economic hazards and impacts of space weather: the important range between mild and extreme. Space Weather, 13, 524–528, 2015. [CrossRef]
  • Sello, S. Solar cycle forecasting: a nonlinear dynamics approach. A&A, 377 (1), 312–320, 2001. [NASA ADS] [CrossRef] [EDP Sciences]
  • SILSO World Data Center. The international sunspot number. International Sunspot Number Monthly Bulletin and Online Catalogue, 1949–2015.
  • Sparavigna, A. Recurrence plots of sunspots, solar flux and irradiance. 2008, arXiv preprint arXiv:0804.1941.
  • Sullivan, W.T. The early years of radio astronomy: reflections fifty years after Jansky’s discovery. Cambridge University Press, Cambridge, 2005.
  • Svalgaard, L., and H.S. Hudson. The solar microwave flux and the sunspot number. In: SOHO-23: Understanding a Peculiar Solar Minimum, Astronomical Society of the Pacific Conference Series, S.R., Cranmer, J.T. Hoeksema, and J.L. Kohl, 428, 325, 2010,
  • Tapping, K. The 10.7 cm solar radio flux (F10. 7). Space Weather, 11 (7), 394–406, 2013. [NASA ADS] [CrossRef]
  • Tapping, K.F., and J.J. Valdés. Did the sun change its behaviour during the decline of cycle 23 and into cycle 24? Sol. Phys., 272, 337–350, 2011, DOI: 10.1007/s11207-011-9827-1. [NASA ADS] [CrossRef]
  • Temmer, M., J. Rybák, P. Bendk, A. Veronig, F. Vogler, W. Otruba, W. Pötzi, and A. Hanslmeier. Hemispheric sunspot numbers {Rn} and {Rs} from 1945–2004: catalogue and N-S asymmetry analysis for solar cycles 18–23. A&A, 447, 735–743, 2006, DOI: 10.1051/0004-6361:20054060. [NASA ADS] [CrossRef] [EDP Sciences]
  • Thiel, M., M.C. Romano, and J. Kurths. How much information is contained in a recurrence plot? Phys. Lett. A, 330 (5), 343–349, 2004. [CrossRef] [MathSciNet]
  • Trulla, L., A. Giuliani, J. Zbilut, and C. Webber Jr. Recurrence quantification analysis of the logistic equation with transients. Phys. Lett. A, 223 (4), 255–260, 1996. [CrossRef]
  • Webber Jr., C.L., and J.P. Zbilut. Recurrence quantification analysis of nonlinear dynamical systems. In: M.A., Riley, and G. Van Orden. Editors, Tutorials in Contemporary Nonlinear Methods for the Behavioral Sciences, 26–94, 2005, Retrieved December 1, 2004
  • Wilson, R.M. On the level of skill in predicting maximum sunspot number – a comparative study of single variate and bivariate precursor techniques. Sol. Phys., 125, 143–155, 1990, DOI: 10.1007/BF00154784. [NASA ADS] [CrossRef]
  • Wolf, R. Universal sunspot numbers: sunspot observations in the second part of the year 1850. Mitt. Nat. Ges. Bern, 1, 89–95, 1851.
  • Zbilut, J.P., and C.L. Webber Jr. Recurrence quantification analysis. In: R., Wolf. Editor, Wiley encyclopedia of biomedical engineering, John Wiley & Sons, Hoboken, 2006, DOI: 10.1002/9780471740360.edb1355
  • Zbilut, J. P, and C. L. Webber Jr. Embeddings and delays as derived from quantification of recurrence plots. Phys. Lett. A, 171 (3), 199–203, 1992. [CrossRef]
  • Zhang, Q. A nonlinear prediction of the smoothed monthly sunspot numbers. A&A, 310, 646–650, 1996.
  • Zhou, S., Y. Feng, W.-Y. Wu, Y. Li, and J. Liu. Low-dimensional chaos and fractal properties of long-term sunspot activity. Res. Astron. Astrophys., 14 (1), 104, 2014. [NASA ADS] [CrossRef]
  • Zolotova, N., and D. Ponyavin. Synchronization in sunspot indices in the two hemispheres. Sol. Phys., 243 (2), 193–203, 2007. [NASA ADS] [CrossRef]
  • Zolotova, N., D. Ponyavin, R. Arlt, and I. Tuominen. Secular variation of hemispheric phase differences in the solar cycle. Astron. Nachr., 331 (8), 765–771, 2010. [NASA ADS] [CrossRef]

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