Substorm classification with the WINDMI model

Nonlinear Processes in Geophysics

Volumn 10, Issue 4-5, 2003, Pages 363-371

  Horton, W ^a   Weigel, R S ^b   Vassiliadis, D ^b   Doxas, I ^c  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b NASA GODDARD SPACE FLIGHT CENTER   (United States)

^c UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMAGNETIC STORM; SOLAR WIND;

EID: 0041327802     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-10-363-2003     Document Type: Article

References (49)

1. Baker, D. N., Pulkkinen, T. I., Büchner, J., and Klimas, A. J.: Substorms: A global instability of the magnetosphere-ionosphere system, J. Geophys. Res., 104, 14 601-14 611, 1999.
2. Bamberg, P. and Sternberg, S.: A course in Mathematics for Students of Physics, Cambridge University Press, 2, 407-636, 1990.
3. Bargatze. L. F., Baker, D. N., McPherron R. L., and Hones, E. W.: Magnetospheric response to the IMF: substorms, J. Geophys. Res., 90, 6387, 1985.
4. Bishop, C. M.: Neural Networks for Pattern Recognition, Oxford University Press, 1995.
5. Blanchard, G. T. and McPherron, R. L.: A bimodal representation of the response function relating the solar wind electric field to the AL index, Adv. Space Res., 13, 71, 1993.
6. Blanchard G. T. and McPherron, R. L.: Analysis of the linearresponse function relating AL to VBs for individual substorms, J. Geophys. Res., 100 (A10), 19 155-19 165, 1995.
7. Blanchard, G. T., Lyons. L. R.. and Spann, J.: Predictions of substorms following northward turnings of the interplanetary magnetic field, J. Geophys. Res., 105, 375, 2000.
8. Blomberg, L. G. and Marklund, G. T.: The influence of conductivities consistent with field-aligned currents on high-latitude convection patterns, J. Geophys. Res., 93, 14 493, 1988.
9. Box, G. E. P. and Jenkins, G. M.: Time Series Analysis: Forecasting and Control, San Francisco Holden-Day, 1976.
10. Doxas, I. and Horton, W.: Magnetospheric dynamics from a low-dimensional nonlinear dynamics model, Phys. Plasmas, 6, 3, 1-7, 1999.
11. Farrugia, C. J., Freeman, M. P., Burlaga, L. F., Lepping, R. P., and Takahashi, K.: The earth's magnetosphere under continued forcing: Substorm activity during the passage of an interplanetary magnetic cloud, J. Ceophys. Res., 98, 7657, 1993.
12. Goertz, C. K., Shan, L. H., and Smith, R. A.: Prediction of geomagnetic activity, J. Geophys. Res., 98, (A5), 7673-7684, 1993.
13. Goode, B., Doxas, I., Cary, J. R., and Horton, W.: Differentiating between colored random noise and deterministic chaos with the root mean squared deviation, J. Geophys. Res., 106, 21 277, 2001.
14. Heppner, J. P. and Maynard, N. C.: Empirical high-latitude electric field models, J. Geophys. Res.. 92(A5), 4467-4489, 1987.
15. Horton, W. and Tajima, T.: Transport from Chaotic Orbits in the Geomagnetic Tail, Geophys. Res. Lett., 18, 1583-1586, 1991, and a recent extension by R. Numata and Z. Yoshida, Phys. Rev. Lett., 2002.
16. Horton, W. and Doxas, I.: A low-dimensional energy conserving state space model for substorm dynamics, J. Geophys. Res., 101, 27 223, 1996.
17. Horton, W. and Doxas, I.: A low-dimensional dynamical model for the solar wind driven geotail-ionosphere system. J. Geophys. Res., 103, 4561, 1998.
18. Horton, W., Pekker, M., and Doxas, I.: Magnetic energy storage and the nightside magnetosphere-ionosphere coupling. Geophys. Res. Lett., 25, 4083, 1998.
19. Horton, W., Smith, J. P., Weigel, R., Crabtree, C., Doxas, I., Goode, B., and Cary, J.: The solar-wind driven magnetosphere-ionosphere as a complex dynamical system, Phys. Plasmas, 6, 11, 1-7, 1999.
20. Kallio, E. I., Pulkkinen, T. I., Koskinen, H. E. J., Viljanen, A., Slavin, J. A., and Ogilvie, K.: Loading-unloading processes in the nightside ionosphere, Geophys. Res. Lett., 27, 11, 1627-1630, 2000.
21. Kamide, Y. and Baumjohann, W.: Magnetosphere-Ionosphere Coupling, Physics and Chemistry in Space, 23, Springer-Verlag, 1993.
22. Klimas, A. J., Baker, D. N., Vassiliadis, D., and Roberts, D. A.: Substorm recurrence during steady and variable solar wind driving: Evidence for a normal mode in the unloading dynamics of the magnetosphere, J. Geophys. Res. 99, A8, 14855, 1994.
23. Klimas, A. J., Vassiliadis, D., Baker, D. N., and Roberts, D. A.: The organized nonlinear dynamics of the magnetosphere, J. Geophys. Res., 101, 13 089, 1996.
24. Klimas, A. J., Valdivia, J. A., Vassiliadis, D., Baker, D. N., Hesse, M., and Takalo, J.: Self-organized criticality in The substorm phenomenon and its relation to localized reconnection in the magnetospheric plasma sheet, J. Geophys. Res., 105, 18 765, 2000.
25. Lefschetz, S.: Applied Mathematical Sciences, in: Applications of Algebraic Topology: Graphs and Networks: the Picard-Lefschetz Theory and Feynman Integrals, Springer-Verlag, New York, Vol. 16, pp. 1884-1972, 1975.
26. Lui, A. T. Y., Chapman, S. C., Liou, K., Newell, P. T., Meng. C. I., Brittnacher, M., and Parks, G. K.: Is the dynamic magnetosphere an avalanching system? Geophys. Res. Lett., 27, 911, 2000.
27. Lyons, L. R.: A new theory for magnetospheric substorms, J. Gcophys. Res., 100, 19 069, 1995.
28. Lyons, L. R.: Geomagnetic disturbances: characteristics of, distinction between types, and relations to interplanetary conditions, J. Atmos. Sol.-Terr. Phy., 62, 1087-1114, 2000.
29. McPherron, R. L., Terasawa, T., and Nishida, A.: Solar Wind Triggering of Substorm Expansion Onset, J. Geomag. Geoelect., 38, 1089-1108, 1986.
30. Mozer, F. S.: Origin and effects of electric fields during isolated magnetospheric substorms, J. Geophys. Res., 76, 31, 7595, 1971.
31. Peroomian, V. and Ashour-Abdalla, M.: Population of the near-Earth magnetotail from the auroral zone, J. Geophys. Res., 101, 15,387, 1996.
32. Press, W. H. Teukolsky, S. A., and Flannery, B. P.: Numerical Recipes in C, Cambridge University Press, 1992.
33. Rostoker, G. and Pascal, F.: Dependence of the response of the magnetosphere ionosphere current systems on the preconditioning of the auroral oval and on the level of the solar terrestrial interaction, Can. J. Phys., 68, 74-80, 1990.
34. Rostoker, G.: Triggering of expansive phase intensifications of magnetospheric substorms by northward turnings of the inter-planetary magnetic field, J. Geophys Res., 88, 6981-6993, 1983.
35. Robinson, R. M., Vondrak, R. R., Miller, K., Dabbs, T., and Hardy, D.: On calculating ionospheric conductances from the flux and energy of precipitating electrons, J. Geophys. Res., 92, 2265-2569, 1988.
36. Siscoe, G. L.: Energy coupling between regions 1 and 2 Birkeland current systems, J. Geophys. Res., 87, A7, 5124, 1982.
37. Smith, J. P. and Horton, W.: Analysis of the bimodal nature of solar wind-magnetosphere coupling, J. Geophys. Res., 103, A7 14 917, 1998.
38. Smith, J. P., Thiffeault, J.-L., and Horton, W.: Dynamical range of the WINDMI model: An exploration of possible magnetospheric plasma states, J. Geophys. Res., 105, A6, 12 983, 2000.
39. Tsyganenko, N. A.: An empirical model of the substorm current wedge, J. Geophys. Res., 102, A9, 19935-19941, 1997.
40. Vassiliadis, D., Klimas, A. J., Baker, D. N., and Roberts, D. A.: A description of solar wind-magnetosphere coupling based on nonlinear filters, J. Geophys. Res., 100 (A3), 3495-3512, 1995a.
41. Vassiliadis, D. and Klimas, A. J.: On the uniqueness of linear moving-averagge filters for the solar wind-auroral geomagnetic activity coupling, J. Geophys. Res., 100(A4), 5637-5641, 1995b.
42. South coupling, J. Geophys. Res., 101(A9), 19 779-19.787 1996.
43. Vasyliunas, V. M.: Mathematical models of magnetospheric convection and its coupling to the ionosphere, in: Particles and Fields in the Magnetosphere, (Ed) McCormac, B. M., D. Reidel, (Hingham, MA. 1970) pp. 60-71, 1970.
44. Vasyliunas, V. M.: Fundamentals of current description, in: Magnetospheric Currents, (Ed) Potemra, T. A., American Geophysical Union, Washington, D. C. p. 63, 1984.
45. Vose, M. D.: The Simple Genetic Algorithm: Foundations and Theory, Cambridge Univ. Press, Cambridge, MA, 1999.
46. Weigel, R. S., Horton, W., Tajima, T., and Detman, T.: Forecasting auroral electrojet activity from solar wind input with neural networks, Geophys. Res. Lett., 26, 1353, 1999.
47. Weigel, R. S.: Prediction and modeling of magnetospheric substorms, Ph.D. thesis, University of Texas at Austin, 2000.
48. Weimer, D. R.: Substorm time constants, J. Geophys. Res., 1999, A6, 11 005, 1994.
49. Weimer, D. R., Ober, D. M., Maynard, N. C., Burke, W. J., Collier, M. R., McComas, D. J., Ness, N. F., and Smith, C. W.: Variable time delays in the propagation of the interplanetary magnetic field, J. Geophys. Res., 107(A8), doi:10.1029/200IJA009102, 2002.