Research article 11 Sep 2015
Research article | 11 Sep 2015
The transient variation in the complexes of the low-latitude ionosphere within the equatorial ionization anomaly region of Nigeria
A. B. Rabiu et al.
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Victor Adetayo Eyelade, Adekola Olajide Adewale, Andrew Ovie Akala, Olawale Segun Bolaji, and A. Babatunde Rabiu
Ann. Geophys., 35, 701–710, https://doi.org/10.5194/angeo-35-701-2017, https://doi.org/10.5194/angeo-35-701-2017, 2017
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The study examined the diurnal and seasonal variations in total electron content (TEC) over Nigeria. The derived GPS TEC across all the stations demonstrated consistent minimum diurnal variations during the pre-sunrise hours, increased with a sharp gradient during the sunrise period, attained a postnoon maximum at about 14:00 LT, and then fell to a minimum just before sunset. The seasonal variation depicted a semi-annual distribution with higher values around equinoxes than solstices.
A. Babatunde Rabiu, Olanike Olufunmilayo Folarin, Teiji Uozumi, Nurul Shazana Abdul Hamid, and Akimasa Yoshikawa
Ann. Geophys., 35, 535–545, https://doi.org/10.5194/angeo-35-535-2017, https://doi.org/10.5194/angeo-35-535-2017, 2017
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This work examined the longitudinal variability of the equatorial electrojet (EEJ) and the occurrence of its counter electrojet (CEJ) using the available records of the horizontal component H of the geomagnetic field simultaneously recorded in the year 2009 along the magnetic equator in South American, African, and Philippine sectors. Our results indicate that the EEJ and CEJ undergo longitudinal variability. More ground observation data points are required in the African equatorial zone.
E. Yizengaw, M. B. Moldwin, E. Zesta, C. M. Biouele, B. Damtie, A. Mebrahtu, B. Rabiu, C. F. Valladares, and R. Stoneback
Ann. Geophys., 32, 231–238, https://doi.org/10.5194/angeo-32-231-2014, https://doi.org/10.5194/angeo-32-231-2014, 2014
Victor Adetayo Eyelade, Adekola Olajide Adewale, Andrew Ovie Akala, Olawale Segun Bolaji, and A. Babatunde Rabiu
Ann. Geophys., 35, 701–710, https://doi.org/10.5194/angeo-35-701-2017, https://doi.org/10.5194/angeo-35-701-2017, 2017
Short summary
Short summary
The study examined the diurnal and seasonal variations in total electron content (TEC) over Nigeria. The derived GPS TEC across all the stations demonstrated consistent minimum diurnal variations during the pre-sunrise hours, increased with a sharp gradient during the sunrise period, attained a postnoon maximum at about 14:00 LT, and then fell to a minimum just before sunset. The seasonal variation depicted a semi-annual distribution with higher values around equinoxes than solstices.
A. Babatunde Rabiu, Olanike Olufunmilayo Folarin, Teiji Uozumi, Nurul Shazana Abdul Hamid, and Akimasa Yoshikawa
Ann. Geophys., 35, 535–545, https://doi.org/10.5194/angeo-35-535-2017, https://doi.org/10.5194/angeo-35-535-2017, 2017
Short summary
Short summary
This work examined the longitudinal variability of the equatorial electrojet (EEJ) and the occurrence of its counter electrojet (CEJ) using the available records of the horizontal component H of the geomagnetic field simultaneously recorded in the year 2009 along the magnetic equator in South American, African, and Philippine sectors. Our results indicate that the EEJ and CEJ undergo longitudinal variability. More ground observation data points are required in the African equatorial zone.
E. Yizengaw, M. B. Moldwin, E. Zesta, C. M. Biouele, B. Damtie, A. Mebrahtu, B. Rabiu, C. F. Valladares, and R. Stoneback
Ann. Geophys., 32, 231–238, https://doi.org/10.5194/angeo-32-231-2014, https://doi.org/10.5194/angeo-32-231-2014, 2014
B. O. Ogunsua, J. A. Laoye, I. A. Fuwape, and A. B. Rabiu
Nonlin. Processes Geophys., 21, 127–142, https://doi.org/10.5194/npg-21-127-2014, https://doi.org/10.5194/npg-21-127-2014, 2014
Related subject area
Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Ionosphere, magnetosphere, planetary science, solar science
Compacting the description of a time-dependent multivariable system and its multivariable driver by reducing the state vectors to aggregate scalars: the Earth's solar-wind-driven magnetosphere
Derivation of the entropic formula for the statistical mechanics of space plasmas
Joseph E. Borovsky and Adnane Osmane
Nonlin. Processes Geophys., 26, 429–443, https://doi.org/10.5194/npg-26-429-2019, https://doi.org/10.5194/npg-26-429-2019, 2019
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A methodology is developed to simplify the mathematical description of activity in a time-dependent driven system. The method describes the response in the system that is most-closely related to the driver. This reduced description has advantages: low noise, high prediction efficiency, linearity in the described system response to the driver, and compactness. The analysis of the Earth’s magnetospheric system is demonstrated.
George Livadiotis
Nonlin. Processes Geophys., 25, 77–88, https://doi.org/10.5194/npg-25-77-2018, https://doi.org/10.5194/npg-25-77-2018, 2018
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Kappa distributions are frequently used for modeling space plasmas, but their physical origin remains unknown. Recently we realized that the statistical origin of these distributions is not the classical Boltzmann entropy, but the Tsallis q entropy. Thereafter, the question was about the physical origin of this entropic formula. Here we show that the q entropy can be derived under first principles, i.e., by considering that the energy and entropy are additive quantities under certain conditions.
Cited articles
Abdu, M. A.: Major Phenomena of the equatorial ionosphere thermosphere system under disturbed conditions, J. Atmos. Solten Phys., 59, 1505–1519, 1997.
Anastasiadis, A., Costa, L., Gonzáles, C., Honey, C., Széliga, M., and Terhesiu, D.: Measures of Structural Complexity in Networks, Complex Systems Summer School 2005, Santa Fe, 2005.
Baillie, R. and Chung, S.: Modeling and forecasting from trend stationary long memory models, with applications in climatology, Int. J. Forecast., 18, 215–226, 2002.
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 Balachandia, N. R.: Solar and Magnetic effects on the latitudinal variations of nighttime TEC enhancement, Ann. Geophys., 9, 60–69, 1991.
Balasis, G. and Mandea, M.: Can electromagnetic disturbances related to the recent great earthquakes be detected by satellite magnetometers?, Tectonophysis, 431, 173–195, https://doi.org/10.1016/j.tecto.2006.05.038, 2007.
Balasis, G., Daglis, I. A., Papadimitrou, C., Kalimeri, M., Anastasiadis, A., and Eftaxias, K.: Dynamical complexity in Dst time series using non-extensive Tsallis entropy, Geophs. Res. Lett., 35, L14102, https://doi.org/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. Geopys. Res., 114, A00D06, https://doi.org/10.1029/2008JA014035, 2009.
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.
Bhattacharyya, A.: Chaotic behavior of ionosphere turbulence from scintillation measurements, J. Geophys. Res., 17, 733–738, 1990.
Bhattacharyya, A. and Pandit, J.: Seasonal variationof spread-F occurrence probability at low latitude and its relation with sunspot number, Int. J. Elect. Commun. Technol., 5, 40–43, 2014.
Bloomfeld, P.: Trends in global Temperature, Climate Change, 21, 1–16, 1992.
Bloomfield, P. and Nychka, D.: Climate spectra and detecting climate change, Climate Change, 21, 275–287, 1992.
Boon, J. and Tssallis, C. (Eds.): Nonexistensive statistical mechanics: New trends, new perspectives, Europhys. News, 36, 185–231, 2005.
Burgula, L. F., Vixas, A. F., and Wang, C.: Tsallis distribution of magnetic field strength variations in the heliosphere: 5 to 90 AU, J. Geophys. Res., 112, A07206, https://doi.org/10.1029/2006JA012213, 2007.
Chang, T.: Low-Dimensional Behavior and Symmetry-Breaking of Stochastic-Systems Near Criticality-Can These Effects Be Observed in Space and in the Laboratory, IEEE T. Plasma Sci., 2, 691–694, 1992.
Chang, T.: Sporadic localized reconnection and multiscale intermittent turbulence in the magnetotail, in: AGU Monograph No. 104, Geospace Mass and Energy Flow, edited by: Horwitz, J. L., Gallagher, D. L., and Peterson, W. K., American Geophysical Union, Washington, D.C., p. 193, 1998.
Chang, T.: Self-organized criticality, multi-fractal spectra, sporadic localized reconnections and intermittent turbulence in the magnetotail, Phys. Plasmas, 6, 4137–4145, 1999.
Chapman, S. C., Watkins, N. W., Dendy, R. O., Helander, P., and Rowlands, G.: A simple avalanche model as an analogue for magnetospheric activity, Geophys. Res. Lett., 25, 2397–2400, 1998.
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, https://doi.org/10.5194/npg-18-697-2011, 2011.
Consolini, G., Marcucci, M. F., and Candidi, M.: Multifractal structure of auroral electrojet index data, Phys. Rev. Lett., 76, 4082–4085, 1996.
Coraddu, M., Lissia, M., and Tonelli, R.: Statistical descriptions of nonlinear systems at the onset of chaos, arXiv:cond-mat/0511736v1, 30 November 2005.
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. and Das, A.: Ionospheric total electron content (TEC) studies with GPS in the equatorial region, India J. Radio Space Phys., 36, 278–292, 2007.
Fraser, A. M. and Swinney, H. L.: independent coordinates for storage attractors from mutual information, Phys. Rev. A, 33, 1134–1141, 1986.
Freeman, M. P. and Watkins, N. W.: The heavens in a pile of sand, Science, 298, 979–980, 2002.
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 Shreber, T.: Practical implementation of nonlinear time series method. The Tisean package, Chaos, 9, 413–430, 1994.
Kalogeropoulos, N.: Weak chaos from Tsallis entropy, Qscience Connect, 12, https://doi.org/10.5339/connect.2012.12, 2012.
Kalogeropoulos, N.: Vanishing largest Lyapunov exponent and Tsallis entropy, Qscience Connect, 26, https://doi.org/10.5339/connect.2013.26, 2013.
Kantz, H. and Shreber, T.: Nonlinear time series analysis, 2nd Edn., Cambridge University Press, 69–70, 2003.
Kazimirovsky, E. S. and Vergasova, G. V.: Mesospheric, Lower Thermospheric Dynamics and External Forcing Effects: A Review, Indian J. Radio Space Phys., 38, 7–36, 2009.
Kazimirovsky, E. S., Kokourov, V. D., and Vergasova, G. V.: Dynamical Climatology of the Upper Mesosphere, Lower Thermosphere and Ionosphere, Surv. Geophys., 27, 211–255, 2006.
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.
Kim, S., Koh, K., Boyd, S., and Gorivesky, D.: L1 Trend filtering, SIAM Review, 51, 339–360, 2009.
Klobuchar, J.: Design and characteristics of the GPS ionospheric time-delay algorithm for single frequency users, in: Proceedings of PLANS'86 – Position Location and Navigation Symposium, 4–7 November 1986, Las Vegas, Nevada, 280–286, 1986.
Kozelov, B. V. and Kozelova, T. V.: Sandpile model analogy of the magnetosphere-ionosphere substorm activity, Proc. Interball Meeting, Warsaw, Poland, 2001.
Kumar, K. S., Kumar, C. V. A., George, B., Renuka, G., and Venugopal, C.: Analysis of the fluctuations of the total electron content, measured at Goose Bay using tools of nonlinear methods, J. Geophys. Res., 10, A02308, https://doi.org/10.1016/j.tecto.2006.05.038, 2007.
Lui, A. T. Y.: Evaluation on the analogy between the dynamic magnetosphere and a forced and/or self-organized critical system, Nonlin. Processes Geophys., 9, 399–407, https://doi.org/10.5194/npg-9-399-2002, 2002.
Mukherjee, S., Shivalika, S., Purohit, P. K., and Gwal, A. K.: Study of GPS ionospheric scintillations over equatorial anomaly station Bhopal, Int. J. Adv.n Earth Sci., 1, 39–48, 2002.
Ogunsua, B. O., Laoye, J. A., Fuwape, I. A., and Rabiu, A. B.: The comparative study of chaoticity and dynamical complexity of the low-latitude ionosphere, over Nigeria, during quiet and disturbed days, Nonlin. Processes Geophys., 21, 127–142, https://doi.org/10.5194/npg-21-127-2014, 2014.
Pavlos, G. P., Kyriakov, G. A., Rigas, A. G., Liatsis, P. I., Trochoulos, P. C., and Tsonis, A. A.: Evidence for strange attractor structures in space plasma, Ann. Geophys., 10, 309–315, 1992.
Perreault, P. and Akasofu, S.-I.: A study of geomagnetic storms, Geophys. J. R. Astron. Soc., 54, 547–573, 1978.
Rabiu, A. B., Mamukuyomi, A. I., and Joshua, E. O.: Variability of equatorial ionosphere inferred from geomagnetic field measurement, Bull. Astro Soc. India, 35, 607–615, 2007.
Rama Rao, P. V. S., Gopi Krishna, S., Niranjan, K., and Prasad, D. S. V. V. D.: Temporal and spatial variations in TEC using simultaneous measurements from the Indian GPS network of receivers during the low solar activity period of 2004–2005, Ann. Geophys., 24, 3279–3292, https://doi.org/10.5194/angeo-24-3279-2006, 2006.
Reddy, D. S., Reddy, N. G., Radhadevi, P. V., Saibaba, J., and Varadan, G.: Peakwise smoothing of data models using wavelets, World Academy of Science, Engineering and Technology, Turkey, 2010.
Remya, R. and Unnikrishnan, K.: Chaotic Behaviour of interplanetary magnetic field under various geomagnetic conditions, J. Atmos. Sol.-Terr. Phys. 72, 662–675, 2010.
Rosenstein, M. T., Collins, J. J., and DeLuca, C. J.: A practical method for calculation Largest Lyapunov Exponents from small Data sets, Physca D, 65, 117–134, 1993.
Saito, A., Fukao, S., and Mayazaki, S.: High resolution mapping of TEC perturbations with the GSI GPS network over Japan, Geophys. Res. Lett., 25, 3079–3082, 1998.
Savitzky, A. and Golay, M. J. E.: Smoothing and differentiation by simplified least square procedures, Anal. Chem., 36, 1627–1639, 1964.
Shan, H., Hansen, P., Goertz, C. K., and Smith, K. A.: Chaotic appearance of the ae index, J. Geophys. Res., 18, 147–150, 1991.
Sindelarova, T., Buresova, D., and Chum, J.: Observations of acoustic-gravity waves in the ionosphere generated by severe tropospheric weather. Studia Geophysica et Geodaetica, 53, 403–418, https://doi.org/10.1007/s11200-009-0028-4, 2009.
Strogatz, S. H.: Nonlinear Dynamics and Chaos, Addison-Wesley Publishing Company, Reading, Massachusetts, 412–415, 1994.
Tsallis, C.: Possible generalization of Boltzmann–Gibbs statistics, J. Stat. Phys., 52, 487–497, 1988.
Tsallis, C.: Generalised entropy-based criterion for consistent testing, Phys. Rev. E., 58, 1442–1445, 1998.
Tsallis, C.: Nonextensive statistics: theoretical, experimental and computational evidences and connections, Braz. J. Phys., 29, 1–35, 1999.
Unnikrishnan, K.: Comparison of chaotic aspects of magnetosphere under various physical conditions using AE index time series, Ann. Geophys., 26, 941–953, https://doi.org/10.5194/angeo-26-941-2008, 2008.
Unnikrishnan, K.: A comparative study on chaoticity of equatorial/low latitude ionosphere over Indian subcontinent during geomagnetically quiet and disturbed periods, Nonlin. Processes Geophys., 17, 765–776, https://doi.org/10.5194/npg-17-765-2010, 2010.
Unnikrishnan, K. and Ravindran, S.: A study on chaotic behavior of equatorial/low latitude ionosphere over indian subcontinent, using Gps – TEC time series, J. Atmos. Sol.-Ter. Phys., 72, 1080–1089, 2010.
Unnikrishnan, K., Saito, A., and Fukao, S.: Differences in magnetic storm and quiet ionospheric deterministic chaotic behavior: GPS TEC Analyses, J. Geophys. Res., 111, A06304, https://doi.org/10.1029/2005JA011311, 2006a.
Unnikrishnan, K., Saito, A., and Fukao, S.: Differences in day and night time ionosphere determine chaotic behavior: GPS TEC Analyses, J. Geophys. Res., 111, A07310, https://doi.org/10.1029/2005JA011313, 2006b.
Uritsky, V. M., Klimas, A. J., and Vassiliadis, D.: Evaluation of spreading critical exponents from the spatiotemporal evolution of emission regions in the nighttime aurora, Geophys. Res. Lett., 30, 1813, https://doi.org/10.1029/2002GL016556, 2003.
Vassiliadis, D .V., Sharma, A. S., Eastman, T. E., and Papadopoulos, K.: Low-dimensionless chaos in magnetospheric activity from AE time series, Geophys. Res. Lett., 17, 1841–1844, 1990.
Vyas, G. D. and Chandra, H.: VHF scintillations and spread-F in the anomaly crest region, Indian J. Radio .Space Phys., 23, 15-164, 1994.
Vyas, R. M. and Dayanandan, B.: Night time VHF ionospheric scintillation characteristics near crest of Appleton anomaly stations, Udaipur 26(° N, 73° E), Indian J. Radio Space Phys., 40, 191–202, 2011.
Wernik, A. W. and Yeh, K. C.: Chaotic behavior of ionospheric scintillation medelling and observations, Radio Sci., 29, 135–139, 1994.
Wolf, A., Swift, J. B., Swinney, H. L., and Vastano, J. A.: Determining Lyapunov exponents from a time series, Physica D, 16, 285–317, https://doi.org/10.1016/0167-2789(85)90011-9, 1985.
Short summary
This paper describes chaos and dynamical complexity to reveal the state of the underlying dynamics of the ionosphere on a daily basis. This is to show the daily/transient variations of chaoticity and dynamical complexity so as to reveal the degree of changes that occur in the ionospheric process and dynamics from one day to another. This paper will point the space science community in the direction of the use of chaoticity and dynamical complexity as indices to describe the process and dynamics.
This paper describes chaos and dynamical complexity to reveal the state of the underlying...