A Coupled Map Lattice model for geomagnetic polarity reversals that exhibits realistic scaling

Earth, Planets and Space

Volumn 51, Issue 6, 1999, Pages 395-402

  Seki, Masayuki ^a   Ito, Keisuke ^b,c  

^a Kobe Tokiwa Junior College   (Japan)

^b KOBE UNIVERSITY   (Japan)

^c Hakodate Wide Area Unification P   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMAGNETIC FIELD; MAGNETIC REVERSAL;

EID: 0033394433     PISSN: 13438832     EISSN: 18805981     Source Type: Journal    
DOI: 10.1186/BF03352243     Document Type: Article

References (25)

1. Bak, P., C. Tang, and K. Wiesenfeld, Self-organized criticality: An explanation of 1/f noise, Phys. Rev. Lett., 59, 381-384, 1987.
2. Bak, P., How Nature Works: the Science of Self-Organized Criticality, 212 pp., Copernicus, New York, 1996.
3. Bergé, P., Y. Pomeau, and Ch. Vidal, Order within Chaos: towards a Deterministic Approach to Turbulence, preface by David Ruelle, translated from the French by Laurette Tuckerman, 329 pp., Wiley, New York, Hermann, Paris, 1984.
4. Cande, S. C. and D. V. Kent, Revised calibration of the geomagnetic polarity timescale for the Late Cretaceous and Cenozoic, J. Geophys. Res., 100, 6093-6095, 1995.
5. Channell, J. E. T., E. Erba, M. Nakanishi, and K. Tamaki, Late Jurassic-Early Cretaceous time scales and oceanic magnetic anomaly block models, in Geochronology, Time Scales, and Global Stratigraphic Correlation, edited by W. A. Berggren, D. V. Kent, M. P. Aubry, and J. Hardenbol, pp. 51-63, Society of Sedimentary Geology Special Publication No. 54, SEPM, Tulsa, 1995.
6. Cortini, M. and C. C. Barton, Chaos in geomagnetic reversal records: A comparison between Earth's magnetic field data and model disk dynamo data, J. Geophys. Res., 99, 18021-18033, 1994.
7. Cox, A., Lengths of geomagnetic polarity intervals, J. Geophys. Res., 73, 3247-3260, 1968.
8. de Wijs, G. A., G. Kresse, L. Vočadlo, D. Dobson, D. Alfè, M. J. Gillan, and G. D. Price, The viscosity of liquid iron at the physical conditions of the Earth's core, Nature, 392, 805-807, 1998.
9. Gaffin, S., Analysis of scaling in the geomagnetic polarity reversal record, Phys. Earth Planet. Int., 57, 284-290, 1989.
10. Harland, W. B., A. V. Cox, P. G. Llewellyn, C. A. G. Pickton, A G. Smith, and R. Walters, A Geologic Time Scale, pp. 73-75, Cambridge University Press, New York, 1982.
11. Ito, K., Chaos in the Rikitake two-disc dynamo system. Earth Planet. Sci. Lett., 51, 451-456, 1980.
12. Kaneko, K., The coupled map lattice: introduction, phenomenology, Lyapunov analysis, thermodynamics and applications, in Theory and Applications of Coupled Map Lattices, edited by K. Kaneko, pp. 1-49, John Wiley, New York, 1993.
13. Kono, M., Rikitake two-disk dynamo and paleomagnetism, Geophys. Res. Lett., 14, 21-24, 1987.
14. Lorenz, E. N., Deterministic nonperiodic flow, J. Atoms. Sci., 20, 130-141, 1963.
15. Lutz, T. M. and G. S. Watson, Effects of long-term variation on the frequency spectrum of the geomagnetic reversal record, Nature, 334, 240-242, 1988.
16. Marzocchi, W., F. Mulargia, and G. Gonzato, Detecting low-dimensional chaos in geophysical time series, J. Geophys. Res., 102, 3195-3209, 1997.
17. McFadden, P. L., Statistical tools for the analysis of geomagnetic reversal sequences, J. Geophys. Res., 89, 3363-3372, 1984.
18. McFadden, P. L. and R. T. Merrill, Lower mantle convection and geomagnetism, J. Geophys. Res., 89, 3354-3362, 1984.
19. McFadden, P. L. and R. T. Merrill, Inhibition and geomagnetic field reversals, J. Geophys. Res., 98, 6189-6199, 1993.
20. Naidu, P. S., Statistical structure of geomagnetic field reversals, J. Geophys. Res., 76, 2649-2662, 1971.
21. Rikitake, T., Oscillations of a system of disk dynamos, Proc. Cambridge Philos. Soc., 54, 89-105, 1958.
22. Seki, M. and K. Ito, A phase-transition model for geomagnetic polarity reversals, J. Geomag. Geoelectr., 45, 79-88, 1993.
23. Shimizu, M. and Y. Honkura, Statistical nature of polarity reversals of the magnetic field in coupled-disk dynamo models, J. Geomag. Geoelectr., 37, 455-497, 1985.
24. Sornette, D., Critical phase transitions made self-organized: a dynamical system feedback mechanism for self-organized criticality, J. Phys. I France, 2, 2065-2073, 1992.
25. Takayasu, H., Fractals in the Physical Sciences, 170 pp., Manchester University Press, Manchester, 1990.