A note on chaotic vs. stochastic behavior of the high-latitude ionospheric plasma density fluctuations

Nonlinear Processes in Geophysics

Volumn 3, Issue 1, 1996, Pages 47-57

  Wernik, A W ^a   Yeh, K C ^b  

^a Polish Academy of Sciences ^*  (Poland)

^b NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008743321     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-3-47-1996     Document Type: Article

References (46)

1. Anselmet, F., Gagne, Y., Hopfinger E.J., and Antonia R.A., High-order velocity structure functions in turbulent shear flows, J. Fluid Mech., 140, 63-89, 1984.
2. Badii, R., Broggi G., Derighetti D., Ravani M., Gilberto S., Politi A., and Rubio M.A., Dimension increase in filtered chaotic signals, Phys. Rev. Lett., 60, 979-982, 1988.
3. Basu, Su., Basu, Sa., MacKenzie, E., Fougere, P.F., Coley, W.R., Maynard, N.C., Winningham, J.D., Sugiura, M., Hanson, W.B., and Hoegy, W.R., Simultaneous density and electric field fluctuation spectra associated with velocity shears in the auroral oval, J. Geophys. Res., 93, 115-136, 1988.
4. Basu, Su., Basu, Sa., MacKenzie, E., Coley, W.R., Sharber, J.R., and Hoegy, W.R., Plasma structuring by the gradient drift instability at high latitudes and comparison with velocity shear driven processes, J. Geophys. Res., 95, 7799-7818, 1990.
5. Benzi, R., Biferle, L., Paladin, G., Vulpiani, A., and Vergalossa, M., Multifractality in the statistics of the velocity gradients in turbulence, Phys. Rev. Lett., 67, 2299-3002, 1991.
6. Biskamp, D., Nonlinear magnetohydrodynamics, Cambridge University Press, Cambridge, 1993.
7. Eckmann, J.-P. and Ruelle, D., Ergodic theory of chaos and strange attractors, Rev. Mod. Phys., 57, 617-656, 1985.
8. Eckmann, J.-P. and Ruelle, D., Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems, Physica D, 56, 185-187, 1992.
9. Fraser, A. and Sinney, H., Independent coordinates for strange attractors from mutual information, Phys.Rev A, 33, 1134-1140, 1986.
10. Grassberger, P. and Procaccia, I., Measuring the strangeness of strange attractors, Physica D, 9, 189-208, 1983.
11. Hanson, W.B., Heelis R.A., Power R.A., Lippincott C.R., Zuccaro D.R., Holt B.J., Harmon L.H., and Sanatani, S., The retarding potential analyzer for Dynamics Explorer-B, Space Sci. Instrum., 5, 503-510, 1981.
12. Hassam, A.B., Hall W., Huba J.D., and Keskinen, M.J., Spectral characteristics of interchange turbulence, J. Geophys. Res., 91, 13513-13522, 1986.
13. Havstad, J.W. and Ehlers, C.L., Attractor dimension of nonstationary dynamical systems form small data sets, Phys. Rev. A, 39, 845-853, 1989.
14. Heppner, J.P., Liebrecht, M.C., Maynard, N.C., and Pfaff, R.F., High-latitude distributions of plasma waves and spatial irregularities from DE 2 alternating current electric field observations, J. Geophys. Res., 98, 1629-1652, 1993.
15. Holzfuss, J. and Mayer-Kress, G., An approach to error-estimation in the application of dimension algorithms, in: Dimensions and entropies in chaotic systems (Ed. G. Mayer-Kress), 114-122, Springer, Berlin (2nd corrected printing), 1989.
16. Huba, J.D., Hassam, A.B., Schwartz, I.B., and Keskinen, M.J., Ionospheric turbulence: Interchange instabilities and chaotic fluid behavior, Geophys. Res. Lett ,12, 65-68, 1985.
17. Huba, J.D., Mitchell, H.G., Keskinen, M.J., Fedder, J.A., Satyanarayana, P., and Zalesak, S.T., Simulation of plasma structure evolution in the high-latitude ionosphere, Radio Sci., 23, 503-512, 1988.
18. Kelley, M.C., Vickerey, J.F., Carlson, C.W., and Torbert, R., On the origin and spatial extent of high-latitude F region irregularities, J. Geophys. Res., 87, 4469-4475, 1982.
19. Kelley, M.C., The Earth ionosphere, Academic Press, London, 1989.
20. Keskinen, M.J. and Ossakow, S.L., Nonlinear evolution of plasma enhacements in the auroral ionosphere, 1. Long wavelength irregularities, J. Geophys. Res., 87, 144-150, 1982.
21. Keskinen, M.J., Mitchell, H.G., Fedder, J.A., Satyanarayana, P., Zalesak, S.T., and Huba, J.D., Nonlinear evolution of the Kelvin-Helmholtz instability in the high-latitude ionosphere, J. Geophys. Res., 93, 137-152, 1988.
22. Keskinen, M.J. and Huba, J.D., Nonlinear evolution of high-latitude ionospheric interchange instabilities with scale-size-dependent magnetospheric coupling, J. Geophys. Res., 95, 15157-15166, 1990.
23. Kintner, P.M., Jr., Observations of velocity shear driven plasma turbulence, J. Geophys.Res., 81, 5114-5122, 1976.
24. Kintner, P.M., Jr. and Seyler, C.E., The status of observations and theory of high latitude ionospheric and magnetospheric plasma turbulence, Space Sci.Rev., 41, 91-129, 1985.
25. Kolmogorov, A.N., A refinament of previous hypothese concerning the local structure of turbulence in a viscous incompressible fluid at high Raynolds number, J. Fluid Mech., 13, 82-85, 1962
26. Lorenz, E.N., Deterministic nonperiodic flow, J. Atmos. Sci., 20, 130-141, 1963
27. Marsch, E. and Tu C.Y., Non-Gaussian probability distributions of solar wind fluctuations, Ann. Geophysicae, 12, 1127-1138, 1994.
28. Mayer-Kress, G., (Ed.), Dimensions and entropies in chaotic systems, Springer, Berlin (2nd corrected printing), 1989.
29. Mitchell, H.G., Fedder, J.A., Keskinen, M.J., and Zalesak, S.T., A simulation of high-latitude F-layer instabilities in the presence of magnetosphere-ionosphere coupling, Geophys. Res. Lett., 12, 283-286, 1985.
30. Novikov, E.A. and Stewart, R.W., Intermittancy of turbulence and spectrum of fluctuations in energy dissipation, Izv. AN SSSR, Ser. Geofiz., 3, 408-413, 1967.
31. Obukhov, A.M., Some features of atmospheric turbulence, J. Fluid Mech., 13, 77-81, 1962
32. Osborne, A.R. and Provenzale, A., Finite correlation dimension for stochastic systems with power-law spectra, Physica D, 35, 357-381, 1989.
33. Ott, E., Sauer, T., and Yorke, J.A., (Eds.), Coping with chaos, 3. Wiley & Sons, New York, 1994.
34. Packard, N.H., Crutchfield, J.P., Farmer, J.D., and Shaw, R.S., Geometry from time series, Phys. Rev. Lett., 45, 712-716, 1980.
35. Paladin, G. and Vulpiani, A., Anomalous scaling laws in multifractal objects, Phys. Rep., 156, 147-225, 1987.
36. Roberts, D.A., Is there a strange attractor in the magnetosphere?, J. Geophys. Res., 96, 16031-16046, 1991.
37. She, Z.-S. and Orszag, S.A., Physical model of intermittancy in turbulence: Inertial range non-Gaussian statistics, Phys. Rev. Lett., 66, 1701-1704, 1991.
38. Takens, F., Detecting strange attractors in turbulence, in Lecture Notes in Mathematics, 898 (Eds. D.A. Rand and L.S. Young), Springer, Berlin, 366-381, 1981.
39. Theiler, J., Estimating the fractal dimension of chaotic time series, The Lincoln Lab. J., 3, 63-85, 1990.
40. α noise, Phys. Lett. A, 155, 480-493, 1991.
41. Theiler, J., Eubank, S., Longlin, A., Galdrikian, B., and Farmer, J.D., Testing for nonlinearity in time series: the method of surrogate data, Physica D, 58, 77-94, 1992.
42. Tsunoda, R.T., High-latitude F region irregularities: A review and synthesis, Rev. Geophys., 26, 719-760, 1988.
43. Vincent, A. and Meneguzzi, M., The spatial structure and statistical properties of homogeneous turbulence, J. Fluid Mech., 225, 1-20, 1991.
44. Wayland, R., Bromley, D., Pickett, D., and Passamante, A., Recognizing determinism in a time series, Phys. Rev. Lett, 70, 580-582, 1993.
45. Welch, P.D., The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms, IEEE Trans. Audio and Electroacoust, AU-15, 70-73, 1967.
46. Wernik, A.W. and Yeh, K.C., Chaotic behavior of ionospheric scintillation: modeling and observations, Radio Sci., 29, 135-144, 1994.