Identification of nonlinear processes in the magnetospheric dynamics and forecasting of Dst index

Journal of Geophysical Research: Space Physics

Volumn 106, Issue A12, 2001, Pages 30047-30066

  Boaghe, O M ^a   Balikhin, M A ^a   Billings, S A ^a   Alleyne, H ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 39449122116     PISSN: None     EISSN: 21699402     Source Type: Journal    
DOI: 10.1029/2000ja900162     Document Type: Article

References (26)

1. Baker, D. N., A. J. Klimas, R.L. McPherron, and J. Buchner, The evolution from weak to strong geomagnetic activity: An interpretation in terms of deterministic chaos, Geophys. Res. Lett., 17, 41, 1990.
2. Bendat, J. S., and A. G. Piersol, Random data: Analysis and measurement procedures, 2nd ed., John Wiley, New York, 1986.
3. Billings, S.A., and W.S.F. Voon, Structure detection and model validity tests in the identification of nonlinear systems, Proc. Inst. Electr. Eng., 130, 193, 1983.
4. Billings, S.A., and W.S.F. Voon, Correlation based model validity tests for non-linear models, Int. J. Control, 44, 235, 1986.
5. Billings, S.A., and Q.M. Zhu, Nonlinear model validation using correlation tests, Int. J. Control, 60, 1107, 1994.
6. Billings, S.A., and Q.M. Zhu, Model validation teste for multivariable nonlinear models including neural networks, Int. J. Control, 62, 749, 1995.
7. Boyd, S., and L.O. Chua, Fading memory and the problem of approximating nonlinear operators with Volterra series, IEEE Trans. Circuits Syst., 32, 1150, 1985.
8. Burton, R.K., R.L. McPherron and C.T. Russell, An empirical relationship between interplanetary conditions and Dst, J. Geophys. Res., 80, 4204, 1975.
9. Chen, S., and S.A. Billings, Representation of nonlinear systems: The NARMAX model, Int. J. Control, 49, 1013, 1989.
10. Dudok de Wit, T., V. V. Krasnoselskikh, M. Dunlop, and H. Luhr, Identifying nonlinear wave interaction in plasmas using two-point measurements: A case study of Short Large Amplitude Magnetic Structures (SLAMS), J. Geophys. Res., 104, 17,079, 1999.
11. Fairfield, D.H., Advances in magnetospheric storm and substorm research:1989-1991, J. Geophys. Res., 97, 10,865, 1992.
12. Goertz, C. K., L. H. Shan, and R. A. Smith, Prediction of geomagnetic activity, J. Geophys. Res., 98, 7673, 1993.
13. Gonzalez, W.D., J. A. Joselyn, Y. Kamide, H.W. Kroehl, G. Rostoker, B.T. Tsurutani, and V.M. Vasiliunas, What is a geomagnetic storm?, J. Geophys. Res., 99, 5771, 1994.
14. Klimas, A. J., D. Vassiliadis, D. N. Baker, and D. A. Roberts, The organised nonlinear dynamics of the magnetosphere, J. Geophys. Res., 101, 13,089, 1996.
15. Klimas, A. J., D. Vassiliadis, and D. N. Baker, Data-derived analogues of the magnetospheric dynamics, J. Geophys. Res., 102, 26,993, 1997.
16. Klimas, A. J., D. Vassiliadis, and D. N. Baker, Dst index prediction using data-derived analogues of the magnetospheric dynamics, J. Geophys. Res., 103, 20,435, 1998.
17. Leontaritis, I.J., and S.A. Billings, Input-output parametric models for nonlinear systems, part I, Deterministic nonlinear systems, Int. J. Control, 41, 309, 1985a.
18. Leontaritis, I.J., and S. A. Billings, Input-output parametric models for nonlinear systems, part II: Stochastic nonlinear systems, Int. J. Control, 41, 329, 1985b.
19. Leontaritis, I.J., and S. A. Billings, Model selection and validation methods for nonlinear systems, Int. J. Control, 45, 311, 1987.
20. McCaffrey, D., I. Bates, M. Balikhin, H. Alleyne, and M. Dunlop, Experimental method for identification of three wave coupling in space plasma, Adv. Space Res., 25, 1571, 2000.
21. Ohami, S., M. Hayakawa, T.F. Beall, and T. Ondoh, Nonlinear wave-wave interactions in the subauroral ionosphere on the basis of ISIS-2 satellite observations of the simple station VLF signals, Geophys. Res. Lett., 20, 739, 1993.
22. Pearson, R. K., and B. A. Ogunnaike, Nonlinear process identification, in Nonlinear Process Control, edited by M. A. Seborg, and D. Henson, p.11, Prentice-Hall, Englewood Cliffs, N.J., 1997.
23. Peyton-Jones, J.C., and S.A. Billings, Recursive algorithm for computing the frequency response of a class of nonlinear difference equation models, Int. J. Control, 50, 5, 1989.
24. Vassiliadis, D., A. J. Klimas, J.A. Valdivia, and D. N. Baker, Dst geomagnetic response as a function of storm phase and amplitude and the solar wind electric field, J. Geophys. Res., 104, 24,957, 1999.
25. Wu, J.-G., and H. Lundsted, Neural network modelling of solar wind magnetosphere interaction, J. Geophys. Res., 102, 14,457, 1997.
26. Zaharov, V. E., Collapse of Langmuir waves, Sov. Phys. JETP, Engl. Transl., 35, 908, 1972.