Lyapunov exponent and entropy of the solar wind flow

Planetary and Space Science

Volumn 49, Issue 12, 2001, Pages 1211-1218

  Redaelli, Stefano ^a   Macek, Wies Law M ^a  

^a Borowiec Astrogeodynamic Observatory   (Poland)

Author keywords

Entropy; Lyapunov exponents; Nonlinear time series analysis; Solar wind plasma

Indexed keywords

EID: 0035480294     PISSN: 00320633     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0032-0633(01)00062-9     Document Type: Article

References (29)

1. Albano, A.M., Muench, J., Schwartz, C., Mess, A.I., Rapp, P.E., 1988. Phys. Rev. A 38, 3017-3026.
2. Badii, R., Broggi, G., Derighetti, B., Ravani, M., Ciliberto, S., Politi, A., Rubio, M.A., 1988. Phys. Rev. Lett. 60, 979-982.
3. Carbone, V., Veltri, P., Bruno, R., 1995. Phys. Rev. Lett. 75, 3110-3113.
4. Ding, M., Grebogi, C., Ott, E., Sauer, T., Yorke, J.A., 1993. Phys. Rev. Lett. 70, 3872-3875.
5. Grassberger, P., Procaccia, I., 1983a. Phys. Rev. A 28, 2591-2593.
6. Grassberger, P., Procaccia, I., 1983b. Physica D 9, 189-208.
7. Kantz, H., 1994. Phys. Lett. A 185, 77-87.
8. Kantz, H., Schreiber, T., 1997. Nonlinear Time Series Analysis. Cambridge University Press, Cambridge.
9. Kantz, H., Schreiber, T., Hoffmann, L, Buzug, T., Pfister, G., Flepp, L.G., Simonet, J., Badii, R., Brun, L., 1993. Phys. Rev. E 48, 1529-1538.
10. Kostelich, E.J., Schreiber, T., 1993. Phys. Rev. E 48, 1752-1763.
11. Kurths, J., Herzel, H., 1987. Physica D 25, 165-172.
12. Macek, W.M., 1998. Physica D 122, 254-264.
13. Macek, W.M., 1999. Testing for an attractor in the low-speed solar wind flow. In: Habbal, S.R., Esser, R., Hollweg, J.V., Isenberg, P.A. (Eds.), Solar Wind Nine, Vol. 471. American Institute of Physics, New York, pp. 251-254.
14. Macek, W.M., Obojska, L., 1996. Fractal analysis of the low-speed solar wind flow. In: Hilgers, A., Guyenne, T.-D. (Eds.), ESA Symposium Proceedings on Environment Modelling for Space-based Applications, SP-392. LSTEC, Noordwijk, pp. 247-252.
15. Macek, W.M., Obojska, L., 1997. Chaos Solitons Fract. 8, 1601-1607.
16. Macek, W.M., Obojska, L., 1998. Chaos Solitons Fract. 9, 221-229.
17. Macek, W.M., Redaelli, S., 2000. Phys. Rev. E 62, 6496-6504.
18. Olbrich, E., Kantz, H., 1997. Phys. Lett. A 232, 63-69.
19. Ott, E., 1993. Chaos in Dynamical Systems. Cambridge University Press, Cambridge.
20. Ott, E., Sauer, T., Yorke, J.A., 1994. Coping with Chaos. Wiley, New York.
21. Schreiber, T., 1993a. Phys. Rev. E 47, 2401-2404.
22. Schreiber, T., 1993b. Phys. Rev. E 48, R13-R16.
23. Schreiber, T., Kantz, H., 1995. Chaos 5, 133-142.
24. Schuster, H.G., 1989. Deterministic Chaos. VCH, Weinheim, Germany.
25. Schwenn, R., 1990. Large-scale structure of the interplanetary medium. In: Schwenn, R., Marsch, E. (Eds.), Physics of the Inner Heliosphere, Vol. 20. Springer, Berlin, pp. 99-182.
26. Takens, F., 1981. Detecting strange attractors in turbulence. In: Rand, D.A., Young, L.S. (Eds.), Dynamical Systems and Turbulence, Lecture Notes in Mathematics, Vol. 898. Springer, Berlin, pp. 366-381.
27. Theiler, J., 1986. Phys. Rev. A 34, 2427-2432.
28. Theiler, J., Eubank, S., Longtin, A., Galdrikian, B., Farmer, J.D., 1992. Physica D 58, 77-94.
29. Wolf, A., Swift, J.B., Swinney, H.L., Vastano, J.A., 1985. Physica D 16, 285-317.