WAVELET ANALYSIS OF SECULAR GEOMAGNETIC VARIATIONS
Abstract and keywords
Abstract (English):
Temporal characteristics of secular variations SV over the last hundred of years are studied using the wavelet transformation, providing estimates of dispersion and energy parameters of the process analyzed. The presence of abrupt geomagnetic field variations of the intraterrestrial origin in periods of 1969-1970 and 1989-1990 is confirmed. The SV process is, on the whole, nonfractal, and only two largest scales can be regarded as monofractal. The SV scale diagrams obtained from the wavelet analysis not only revealed singularities in the SV field but also provided constraints on variations in its energy parameters throughout the time interval studied. On the basis of the SV phase portrayal constructed in our study, the limits of the SV dynamic system are estimated to be 24.

Keywords:
geomagnetic field, secular variation, wavelet analysis, attractor.
Text
Publication text (PDF): Read Download
References

1. Alexandrescu, J. Geophys. Res., v. 100, 1995., doi:https://doi.org/10.1029/95JB00314

2. Alexandrescu, J. Geophys. Res., v. 101, 1996., doi:https://doi.org/10.1029/96JB01648

3. Alperovich, Phys. Chem. Earth, v. 23, 1998., doi:https://doi.org/10.1016/S0079-19469800128-1

4. Astafyeva, Usp. Fiz. Nauk, v. 166, 1996.

5. Braginsky, Geomagn. Aeron., v. 17, 1977.

6. Cay, TIIER, v. 69, no. 11, 1981.

7. Chui, Introduction to Wavelets, 2001.

8. Courtillot, Annu. Rev. Earth Planet. Sci., v. 16, 1988.

9. Daubechies, Ten Lectures on Wavelets, 2001.

10. Daubechies, CBMS Ser. Appl. Math. Soc. Ind. Appl. Math. Pa., 61, 1992.

11. De Michelis, Geophys. J. Int., v. 143, 2000., doi:https://doi.org/10.1046/j.1365-246X.2000.00208.x

12. Dremin, Usp. Fiz. Nauk, v. 171, no. 5, 2001.

13. Ducruix, Geophys. J. R. Astron. Soc., v. 61, 1980.

14. Dyakonov, Wavelets: Theory and Applications, 2002.

15. Gilbert, J. Geophys. Res., v. 103, 1998.

16. Golovkov, Geomagn. Aeron., v. 36, 1996.

17. Hide, Phys. Earth Planet. Int., v. 39, no. 4, 1985., doi:https://doi.org/10.1016/0031-92018590143-8

18. Ippolitov, Optika Atm. Okeana, v. 14, no. 4, 2001.

19. Ivanov, Geomagn. Aeron., v. 40, no. 2, 2000.

20. Malin, Publicado on volumen conmemorative 75 aniversario del observatorio del Ebro, 1983.

21. Mallat, IEEE Pattern Anal. Machine Intell., v. 11, 1989., doi:https://doi.org/10.1109/34.192463

22. McLeod, J. Geophys. Res., v. 90, 1985.

23. Meyer, Wavelets and Operators, 1992.

24. Papitashvili, Geomagn. Aeron., v. 22, 1982.

25. Rotanova, Geomagn. Aeron., v. 42, 2002.

26. Runcorn, Phys. Earth Planet. Int., v. 41, 1985., doi:https://doi.org/10.1016/0031-92018590022-6

27. Takens, Lecture Notes in Mathematics, D. Rand and I.-S. Young, Eds., 1981.

28. Voorhies, J. Geophys. Res., v. 91, 1986.

Login or Create
* Forgot password?