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Please use this identifier to cite or link to this item: http://hdl.handle.net/2122/3973

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Title: Some possible evidence for a chaotic geomagnetic field from observational data
Authors: Barraclogh, D. R.*
De Santis, A.*
Keywords: geomagnetic field
chaos
non-linear forecasting approach
Issue Date: Feb-1997
Publisher: Elsevier
Title of journal: Physics of the Earth and Planetary Interiors
Series/Report no.: 3-4 / 99 (1997)
Abstract: The behaviour of the geomagnetic field as observed almost continuously at three European locations over the last 130 years is investigated by means of a non-linear forecasting approach. The analysis of the data in terms of first-differences (secular variation) of the horizontal magnetic components made in phase space with the simplex technique seems to exclude the pre-eminence of any stochastic or periodic behaviour. The dimensionality of the underlying non-linear process and the corresponding 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.
URI: http://hdl.handle.net/2122/3973
Appears in Collections:Papers Published / Papers in press
04.01.03. Mantle and Core dynamics
04.05.02. Geomagnetic field variations and reversals

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  • Baker, G.L. and Gollub, J.P., 1990. Chaotic Dynamics: an Introduction.
  • Cambridge University Press, Cambridge.
  • Barraclough, D.R., 1978. Spherical hannonic models of the geomagnetic
  • field. Geomagn. Bull. Inst. Geol. Sci., 8.
  • Belbruno, E., 1992. Through the fuzzy boundary: a new route to
  • the Moon. Planet. Rep., 12: 8-10.
  • Bloxham, J. and Jackson, A., 1989. Simultaneous stochastic inversion
  • for geomagnetic main field and secular variation. 2.
  • 1820-1980. J. Geophys. Res., 94: 15753-15769.
  • Cafarella, L., De Santis, A. and Meloni, A., 1992. Secular variation
  • in Italy from historical geomagnetic field measurements.
  • Phys. Earth Planet. Inter., 73: 206-221.
  • Constable, C.G. and Parker, R.L., 1988. Statistics of the geomagnetic
  • secular variation for the past 5m.y. J. Geophys. Res., 93:
  • 11569-11581.
  • De Santis, A. and Barraclough, D.R., 1996. A note on two
  • expressions for the spatial power spectrum of the geomagnetic
  • field. Ann. Geofis., 39: 529-531.
  • De Santis, A. and Barraclough, D.R., 1997. A fractal interpretation
  • of the topography of the geomagnetic scalar potential at
  • the core-mantle boundary. Pure Appl. Geophys., in press.
  • Dowling, T.E., 1995. Dynamics of Jovian atmospheres. Annu.
  • Rev. Fluid Mech., 27: 293-334.
  • Elsner, J.B. and Tsonis, A.A., 1993. Nonlinear dynamics established
  • in the ENSO. Geophys. Res. Lett., 20: 213-216.
  • Fanner, J.D. and Sidorowich, J.J., 1987. Predicting chaotic time
  • series. Phys. Rev. Lett., 59: 845-848.
  • Fowler, A.D. and Roach, D.E., 1993. Dimensionality analysis of
  • time-series data: nonlinear methods. Comput. Geosci., 19:
  • 41 -52.
  • Glatzmaier, G.A. and Roberts, P.H.. 1995. A three-dimensional
  • self-consistent computer simulation of a geomagnetic field
  • reversal. Nature, 377: 203-209.
  • Grassberger, P. and Procaccia, I., 1983. Measuring the strangeness
  • of strange attractors. Physica, D9: 189-208.
  • Henon, M,, 1976. A two-dimensional mapping with a strange
  • attractor. Common. Math. Phys., 50: 69-77.
  • Hide, R., 1995. Structural instability of the Rikitake disk dynamo.
  • Geophys. Res. Lett., 22: 1057-1059.
  • Hirsching, W. and Busse, F.H., 1995. Stationary and chaotic
  • dynamos in rotating spherical shells. Phys. Earth Planet. Inter.,
  • 90: 243-254.
  • Hulot, G. and Le Mouel, J.L., 1994. A statistical approach to the
  • Earth's main magnetic field. Phys. Earth Planet. Inter., 82:
  • 167-183.
  • Kono, M., 1987. Rikitake two-disk dynamo and paleomagnetism.
  • Geophys. Res. Lett., 14: 21-24.
  • Langel, R.A., Kerridge, D.J., Barraclough, D.R. and Malin, S.R.C.,
  • 1986. Geomagnetic temporal change: 1903-1982, a spline
  • representation. J. Geomagn. Geoelectr., 38: 573-597.
  • Lorenz, E.N., 1963. Deterministic nonperiodic flow. J. Atmos.
  • Sci., 20: 130-141.
  • Mandelbrot, B.B., 1982. The Fractal Geometry of Nature. W.H.
  • Freeman, New York.
  • May, R.M., 1976. Simple mathematical models with very complicated
  • dynamics. Nature, 261: 459-467.
  • McCloskey, J., Bean, C.J. and Jacob, A.W.B., 1991. Evidence for
  • chaotic behaviour in seismic wave scattering. Geophys. Res.
  • Lett., 18: 190-1904.
  • Mundt, M.D., Maguire, 11, W.B. and Chase, R.R.P., 1991. Chaos
  • in sunspot cycle: analysis and prediction. J. Geophys. Res.,
  • 96(2): 1705- 17 16.
  • Newitt, L.R. and Haines, G.V., 1989. A Canadian Geomagnetic
  • Reference Field for epoch 1987.5. J. Geomagn. Geoelectr., 41:
  • 249-260.
  • Osbome, A.R. and Provenzale, A., 1989. Finite correlation dimension
  • for stochastic systems with power-law spectra. Physica,
  • D35: 357-381.
  • Ott, E., 1981. Strange attractors and chaotic motions of dynamical
  • systems. Rev. Mod. Phys., 53: 655-671.
  • Parlitz, U., 1992. Identification of true and spurious Lyapunov
  • exponents from time series. Int. J. Bif. Chaos, 2: 155-165.
  • Peitgen, H.-O., Jiirgens, H. and Saupe, D., 1992. Chaos and
  • Fractals, New Frontiers of Chaos. Springer, New York.
  • Robbins, K.A., 1977. A new approach to sub-critical instability
  • and turbulent transitions in a simple dynamo. Math. Proc.
  • Camb. Philos. Soc., 82: 309-325.
  • Ruelle D., 1991. Chaos and Chance. Princeton University Press,
  • Princeton, NJ.
  • Shaw, H.R., 1994. Craters, Cosmos and Chronicles: a New Theory
  • of Earth. Stanford University Press, Stanford, CA.
  • Sugihara, G. and May, R.M., 1990. Nonlinear forecasting as a
  • way of distinguishing chaos from measurement error in time
  • series. Nature, 344: 734-741.
  • Takens, F., 1981. Detecting strange attractors in turbulence. In:
  • D.A. Rand and L.S. Young (Editors), Lecture Notes in Mathematics.
  • Vol. 898. Springer, Berlin, 366 pp.
  • Theiler, J., Eubank, S., Longtin, A., Galdrikian, B. and Farmer,
  • J.D., 1992. Testing for nonlinearity in time series: the method
  • of surrogate data. Physica D, 58: 77-94.
  • Tsonis, A.A. and Elsner, J.B., 1992. Nonlinear prediction as a
  • way of distinguishing chaos from random fractal sequences.
  • Nature, 358: 217-220.
  • Voros, Z., 1994. The magnetosphere as a nonlinear system. Stud.
  • Geophys. Geod., 38: 168- 186.
  • Wales, D.J., 1991. Calculating the rate of loss information from
  • chaotic time series by forecasting. Nature, 350: 485-488.
  • Walker, A.D. and Backus, G.E., 1996. Is the non-dipole magnetic
  • field random? Geophys. J. Int., 124: 315-319.
  • Wolf, A., Swift, J.B., Swinney, H.L. and Vastano, J., 1985.
  • Determining Lyapunov exponents from a time series. Physica,
  • D16: 285-317.

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