World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

The Comparative Study of Chaoticity and Dynamical Complexity of the Low-latitude Ionosphere, Over Nigeria, During Quiet and Disturbed Days : Volume 21, Issue 1 (20/01/2014)

By Ogunsua, B. O.

Click here to view

Book Id: WPLBN0003991661
Format Type: PDF Article :
File Size: Pages 16
Reproduction Date: 2015

Title: The Comparative Study of Chaoticity and Dynamical Complexity of the Low-latitude Ionosphere, Over Nigeria, During Quiet and Disturbed Days : Volume 21, Issue 1 (20/01/2014)  
Author: Ogunsua, B. O.
Volume: Vol. 21, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Fuwape, I. A., Laoye, J. A., Rabiu, A. B., & Ogunsua, B. O. (2014). The Comparative Study of Chaoticity and Dynamical Complexity of the Low-latitude Ionosphere, Over Nigeria, During Quiet and Disturbed Days : Volume 21, Issue 1 (20/01/2014). Retrieved from

Description: Space Physics Laboratory, Department of Physics, Federal University of Technology, Akure, Nigeria. The deterministic chaotic behavior and dynamical complexity of the space plasma dynamical system over Nigeria are analyzed in this study and characterized. The study was carried out using GPS (Global Positioning System) TEC (Total Electron Content) time series, measured in the year 2011 at three GPS receiver stations within Nigeria, which lies within the equatorial ionization anomaly region. The TEC time series for the five quietest and five most disturbed days of each month of the year were selected for the study. The nonlinear aspect of the TEC time series was obtained by detrending the data. The detrended TEC time series were subjected to various analyses for phase space reconstruction and to obtain the values of chaotic quantifiers like Lyapunov exponents, correlation dimension and also Tsallis entropy for the measurement of dynamical complexity. The observations made show positive Lyapunov exponents (LE) for both quiet and disturbed days, which indicates chaoticity, and for different days the chaoticity of the ionosphere exhibits no definite pattern for either quiet or disturbed days. However, values of LE were lower for the storm period compared with its nearest relative quiet periods for all the stations. The monthly averages of LE and entropy also show no definite pattern for the month of the year. The values of the correlation dimension computed range from 2.8 to 3.5, with the lowest values recorded at the storm period of October 2011. The surrogate data test shows a significance of difference greater than 2 for all the quantifiers. The entropy values remain relatively close, with slight changes in these values during storm periods. The values of Tsallis entropy show similar variation patterns to those of Lyapunov exponents, with a lot of agreement in their comparison, with all computed values of Lyapunov exponents correlating with values of Tsallis entropy within the range of 0.79 to 0.81. These results show that both quantifiers can be used together as indices in the study of the variation of the dynamical complexity of the ionosphere. The results also show a strong play between determinism and stochasticity. The behavior of the ionosphere during these storm and quiet periods for the seasons of the year are discussed based on the results obtained from the chaotic quantifiers.

The comparative study of chaoticity and dynamical complexity of the low-latitude ionosphere, over Nigeria, during quiet and disturbed days

Abdu, M. A.: Major Phenomena of the equatorial ionosphere thermosphere system under disturbed conditions, J. Atmos. Solar-Terr. Phys., 59, 1505–1519, 1997.; Anastasiadis, A., Costa, L., Gonzales, C., Honey, C., Szeliga, M., and Terhesiu, D.: Measures of Structural Complexity in Networks, in: Complex Systems Summer School 2005, Santa Fe, 2005.; Balan, N. and Rao, P. B.: Latitudinal variations of nighttime enhancements in total electron content, J. Geophys. Res., 92, 3436–3440, 1987.; Balan, N., Bailey, G. J., and Balachandian, N. . R.: Solar and Magnetic effects on the latitudinal variations of nighttime TEC enhancement, Ann. Geophys., 9, 60–69, 1991.; Balasis, G., Daglis, I. A., Papadimitrou, C., Kalimeri, M., Anastasiadis, A., and Eftaxias, K.: Dynamical complexity in D$_st$ time series using non-extensive Tsallis entropy, Geophys. Res. Lett., 35, L14102, doi:10.1029/2008GL034743, 2008.; Balasis, G., Daglis, I. A., Papadimitrou, C., Kalimeri, M., Anastasiadis, A., and Eftaxias, K.: Investigating Dynamical complexity in the magnetosphere using various entropy measures, J. Geophys. Res., 114, A00D06, doi:10.1029/2008JA014035, 2009.; Bhattacharyya, A.: Chaotic behavior of ionosphere turbulence from scintillation measurements, J. Geophys. Res., 17, 733–738, 1990.; Baranger, M., Latora, V., and Rapisarda, A.: Time evolution of thermodynamic entropy for conservative and dissipative chaotic maps, Chaos Soliton Fract, 12, 471–478, 2002.; Boon, J. and Tsallis, C. (Eds.): Nonexistensive statistical mechanics: New trends, new perspectives, Cambridge University Press, 2003.; Burlaga, L. F., Vinas, A. F., and Wang, C.: Tsallis distribution of magnetic field strength variations in the heliosphere: 5 to 90 AU, J. Geophys. Res., 112, A07206, doi:10.1029/2006JA012213, 2007.; Kennel, M. B., Brown, R., and Abarbanel, H. D. I.: Determining minimum embedding dimension using a geometrical construction, Phys. Rev. A, 45, 3403–3411, 1992.; Coco, I., Consolini, G., Amata, E., Marcucci, M. F., and Ambrosino, D.: Dynamical changes of the polar cap potential structure: an information theory approach, Nonlin. Processes Geophys., 18, 697–707, doi:10.5194/npg-18-697-2011, 2011.; Coraddu, M., Lissia, M., and Tonelli, R.: Statistical descriptions of nonlinear systems at the onset of chaos arXiv:cond-mat/0511736v1, Physica A, 365, 252–257, 2006.; Cosolini, G. and Chang, T.: Magnetic field topology and criticality in geotail dynamics relevance to substorm phenomena, Space Sci. Rev., 95, 309–321, 2001.; DasGupta, A., Paul, A., and Das, A.: Ionospheric total electron content (TEC) studies with Gps in the equatorial region, Indian J. Radio Space, 36, 278–292, 2007.; Fraser, A. M. and Swinney, H. L.: Independent coordinates for strange attractors from mutual information, Phys. Rev. A, 33, 1134–1141, 1986.; Fuller-Rowell, T. J., Codrescu, M. V., Moffett, R. J., and Quegan, S.: Response of the magnetosphere and ionosphere to geomagnetic storms, J. Geophys. Res., 99, 3893–3914, 1994.; Grassberger, P. and Procaccia, I.: Characterization of strange attractors, Phys. Rev. Lett., 50, 346–349, 1983a.; Grassberger, P. and Procaccia, I.: Measuring the strangeness of strange attractors, Physica D, 9, 189–208, 1983b.; Hegger, R., Kantz, H., and Shrieber, T.: Practical implementation of nonlinear time series method: The Tisean package, Chaos, 9, 413–430, 1999.; Kalogeropoulos, N.: Weak chaos from Tsallis entropy, Qscience Connect, 12, doi:10.5339/connect.2012.12, 2012.; Kantz, H. and Schreiber, T.: Nonlinear Time Series Analysis, Cambridge University Press, 2003.; Kalogeropoulos, N.: Vanishing largest Lyapunov exponent and Tsallis entropy, Qscience Connect, 26


Click To View

Additional Books

  • Statistical Properties of Nonlinear One-... (by )
  • Extreme Events and Long-range Correlatio... (by )
  • Effects of the Synoptic Scale Variabilit... (by )
  • Higher-order Korteweg-de Vries Models fo... (by )
  • The Effect of Third-order Nonlinearity o... (by )
  • One-dimensional Modelling of Upper Ocean... (by )
  • Multiscaling and Joint Multiscaling Desc... (by )
  • Whistler Oscillitons Revisited: the Role... (by )
  • Recurrence and Interoccurrence Behavior ... (by )
  • Unstable Periodic Orbits and Attractor o... (by )
  • Intensity of Convective Motions in Marin... (by )
  • Model Error in Weather Forecasting : Vol... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.