Dr. Barraclough et A. Desantis, SOME POSSIBLE EVIDENCE FOR A CHAOTIC GEOMAGNETIC-FIELD FROM OBSERVATIONAL DATA, Physics of the earth and planetary interiors, 99(3-4), 1997, pp. 207-220
The behaviour of the geomagnetic field as observed almost continuously
at three European locations over the last 130 years is investigated b
y means of a non-linear forecasting approach. The analysis of the data
in terms of first-differences (secular variation) of the horizontal m
agnetic components made in phase space with the simplex technique seem
s to exclude the pre-eminence of any stochastic or periodic behaviour.
The dimensionality of the underlying non-linear process and the corre
sponding largest positive Lyapunov exponent are estimated. The results
give some evidence that the geomagnetic field evolves as a non-linear
chaotic system with unpredictable behaviour after times greater than
a few years, confirming the common practice of updating global models
of the geomagnetic field every 5 years.