Abstract
Strong indications of chaotic dynamics underlying in the interplanetary and cometary magnetic field fluctuations over short time scales are identified using HEOS-2 spacecraft (at 1 AU), Pioneer 10 (at 4.8 AU), Pioneer 11 (at 20 AU) and ICE (Giacobini-Zinner cometary environment) high-resolution measurements. Other non-chaotic candidate processes, such as linear deterministic models, fractal Brownian motion, and linear gaussian stochastic models are rejected at a high confidence level using nonlinear prediction methods. Experimental proofs of phase correlations are obtained. Assuming chaotic dynamics, estimations of the Kolmogorov-Sinai entropy are provided.
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References
Casdagli, M.: 1989,Physica D35, 335.
Denskat, K. U. and Neubauer, F. M.: 1982, in M. Neugebauer (ed.),Solar Wind Five, NASA CP-2280, p. 81.
Elsner, J. B. and Tsonis, A. A.: 1993,Geophys. Res. Letters 20, 213.
Farmer, J. D. and Sidorowich, J. J.: 1987,Phys. Rev. Letters 59, 845.
Froehling, H., Cruchfield, J. P., Farmer, D., Packard, N. H., and Shaw, R.: 1981,Physica 3D, 605.
Goldstein, B. and Siscoe, G. L.: 1972, in C. P. Sonett, P. J. Coleman, Jr., and J. M. Wilcox (eds.),Solar Wind, NASA SP-308, p. 506.
Grassberger, P.: 1986, in A. V. Holden (ed.),Chaos, Manchester University Press, Manchester, p. 291.
Mandelbrot, B. B.: 1983,The Fractal Geometry of Nature, Freemand and Co., New York.
Matthaeus, W. H. and Goldstein, M. L.: 1982, in M. Neugebauer (ed.),Solar Wind Five, NASA CP-2280, p. 73.
Osborne, A. R. and Provenzale, A.: 1989,Physica D35, 357.
Packard, N. H., Cruchfield, J. P., Farmer, J. D., and Shaw, R. S.: 1980,Phys. Rev. Letters 45, 712.
Polygiannakis, J. M. and Moussas, X.: 1994,Astron. Astrophys., in press.
Sugihara, G. and May, R. M.: 1990,Nature 344, 734.
Takens, F.: 1981,Lecture Notes in Mathematics 898, Springer-Verlag, Berlin, p. 366.
Theiler, J.: 1991,Phys. Letters A155, 480.
Theiler, J., Eubank, S., Longtin, A., Garldrikian, B., and Farmer, J. D.: 1992,Physica D58, 77.
Tsonis, A. A. and Elsner, J. B.: 1992,Nature 358, 217.
Tu, C. Y., Marsch, E., and Rosenbauer, H.: 1991,Ann. Geophys. 9, 748.
Wales, D. J.: 1991,Nature 350, 485.
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Polygiannakis, J.M., Moussas, X. On experimental evidence of chaotic dynamics over short time scales in solar wind and cometary data using nonlinear prediction techniques. Sol Phys 151, 341–350 (1994). https://doi.org/10.1007/BF00679080
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DOI: https://doi.org/10.1007/BF00679080