Estimating the fractal dimension, K2-entropy, and the predictability of the atmosphere

Czechoslovak Journal of Physics

Volumn 46, Issue 4, 1996, Pages 293-328

  Raidl, Aleš ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030548523     PISSN: 00114626     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01691691     Document Type: Article

References (45)

1. Lorenz E.N.: J. Atmos. Sci. 20 (1963) 130.
2. Marek M. and Schreiber I.: Chaotic behaviour of deterministic dissipative systems, Academia, Praha, 1991.
3. Dvořák I. and Šiška J.: Pokroky mat. fyz. astro. 36 (1991) 73 (in Czech).
4. Dymnikov V.P., and Filatov A.N.: Stability of large-scale atmospheric processes, Gidrometeoizdat, Leningrad, 1990 (in Russian).
5. Bunde A. and Havlin S.: Fractals and disordered systems, Springer-Verlag, Berlin-Heidelberg, 1991.
6. Grassberger P. and Procaccia I.: Phys. Rev. A 28 (1983) 2591.
7. Sano M., and Sawada Y.: Phys. Rev. Lett. 55 (1985) 1082.
8. Wolf A., Swift J.B., Swinney H.L., and Vasto J.: Physica D 16 (1985) 285.
9. Zeng X., Eykholt R., and Pielke R.A.: Phys. Rev. Lett. 66 (1991) 3229.
10. Gaponov-Grekhov A.V., Rabinovich M.I., Starobinets I.M., Tsimring M.Sh., and Chugurin V.V.: Chaos 4 (1994) 55.
11. Takens F.: Detecting strange attractors in turbulence, in Lecture notes in mathematics, Springer, Berlin, 1981.
12. Zeng X., Pielke R.A., and Eykholt R.: J. Atmos. Sci. 49 (1992) 649.
13. Broomhead D.S. and King G.P.: Physica D 20 (1986) 217.
14. Breedon J.L. and Packard N.H.: Physica D 58 (1992) 273.
15. Tsonis A.A. and Elsner J.B.: Nature 333 (1988) 545.
16. Tsonis A.A., Elsner J.B., and Georgakakos K.P.: J. Atmos Sci. 50 (1993) 2549.
17. Poveda J. and Puente C.E.: Bound.-Layer Meteorol. 64 (1993) 175.
18. Fraser A.M. and Swinney H.S.: Phys.Rev. A 33 (1986) 1134.
19. Eckman J.-P. and Ruelle D.: Rev. Mod. Phys. 57 (1985) 617.
20. Grassberger P. and Procaccia I.: Phys. Rev. Lett. 50 (1983) 346.
21. Essex C., Lookman T., and Nerenberg M.A.H.: Nature 326 (1987) 64.
22. Tsonis A.A. and Elsner J.B.: J. Climate 3 (1990) 1502.
23. Ruelle D.: Proc. R. Soc. Lond. A 427 (1990) 241.
24. Essex C. and Nerenberg M.A.H.: Proc. R. Soc. Lond. A 435 (1991) 287.
25. Fraedrich K. and Wang R.: Physica D 65 (1993) 373.
26. Nerenberg M.A.H. and Essex C.: Phys. Rev. A 42 (1990) 7065.
27. Smith L.A.: Phys. Lett. A 133 (1988) 283.
28. Frank M., Blank H.R., Heindl J., Kaltemhäuser M., Köchner H., Kreische W., Müller N., Poscher S., Sporer R., and Wagner T.: Physica D 65 (1993) 359.
29. Osborne A.R., Kirwan A.D., Provenzale A., and Bergamasco L.: Physica D 23 (1986) 75.
30. Osborne A.R. and Provenzale A.: Physica D 35 (1989) 357.
31. Provenzale A., Osborne A.R., and Soj R.: Physica D 47 (1991) 361.
32. Provenzale A., Smith L.A., Vio R., and Murante G.: Physica D 58 (1992) 31.
33. Pavlos G.P., Kyriakou G.A., Rigas A.G., Liatsis P.I., Trochoutsos P.C., and Tsonis A.A.: Ann. Geophys. 10 (1992) 309.
34. Tsonis A.A. and Elsner J.B.: Nature 358 (1992) 217.
35. Keppenne C.L. and Nicolis C.: J. Atmos. Sci. 46 (1989) 2356.
36. Mohan K., Rao J.S., and Ramaswamy R.: J. Climate 2 (1989) 1047.
37. Nicolis C. and Nicolis G.: Nature 311 (1984) 529.
38. Romanelli L., Figliola M.A., and Hirsch F.A.: J. Stat. Phys. 53 (1988) 991.
39. Bountis T., Karakatsanis L., Papaioannou G., and Pavlos G.: Ann. Geophys. 10 (1993) 947.
40. Lorenz E.N.: Nature 353 (1991) 241.
41. Hlaváč V.: Thermal conditions in the capital Prague. In Czechoslovak Statistics, Vol. 143, Prague, 1937 (in Czech).
42. Theiler J.: Phys. Rev. A 34 (1986) 2427.
43. Casdagli M.: Physica D 35 (1989) 335.
44. Farmer J.D. and Sidorowich J.J.: Phys. Rev. Lett. 59 (1987) 845.
45. Sugihara G. and May R.M.: Nature 344 (1990) 734.