Phase space structure and anomalous diffusion in a rotational fluid experiment

Chaos

Volumn 10, Issue 1, 2000, Pages 153-165

  Kovalyov, S ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034147935     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166483     Document Type: Article

References (41)

1. J. Sommeria, S. D. Meyers, and H. L. Swinney, Nature (London) 337, 58 (1989).
2. T. H. Solomon, E. R. Weeks, and H. L. Swinney, Physica D 76, 70 (1994).
3. T. H. Solomon, E. R. Weeks, and H. L. Swinney, Phys. Rev. Lett. 71, 3975 (1993).
4. E. R. Weeks, T. H. Solomon, J. S. Urbach, and H. L. Swinney, in LévyFlights and Related Topics in Physics, edited by M. F. Shlesinger, G. M. Zaslavsky, and U. Frisch (Springer-Verlag, Heidelberg, 1995), p. 51.
5. E. R. Weeks, J. S. Urbach, and H. L. Swinney, Physica D 97, 291 (1996).
6. J. S. Urbach, E. R. Weeks, and H. L. Swinney, in Chaos, Kinetics, and Nonlinear Dynamics in Fluids and Plasmas, edited by S. Benkadda and G. M. Zaslavsky (Springer-Verlag, Berlin, 1998), p. 171.
7. J. Klafter, M. F. Shlesinger, and G. Zumofen, Phys. Today 49, 33 (1996).
8. S. C. Venkataramani, T. M. Antonsen, Jr., and E. Ott, Phys. Rev. Lett. 78. 3864 (1997); Physica D 112, 412 (1998).
9. S. C. Venkataramani, T. M. Antonsen, Jr., and E. Ott, Phys. Rev. Lett. 78. 3864 (1997); Physica D 112, 412 (1998).
10. D. del-Castillo-Negrete and P. J. Morrison, in Chaotic Dynamics and Transport in Fluids and Plasmas, edited by I. Prigogine et al. (American Institute of Physics, New York, 1993), p. 181.
11. D. del-Castillo-Negrete and P. J. Morrison, Phys. Fluids A 5, 948 (1993).
12. J. Pedlosky, Geophysical Fluid Dynamics, 2nd ed. (Springer-Verlag, New York, 1987).
13. G. M. Zaslavsky, Chaos 4, 25 (1994).
14. G. M. Zaslavsky, Physica D 76, 110 (1994).
15. R. P. Behringer, S. D. Meyers, and H. L. Swinney, Phys. Fluids A 3, 1243 (1991).
16. H. L. Kuo, "Dynamics of quasigeostrophic flows and instability theory," Advances in Applied Mechanics, edited by Ca-S. Yin (Academic, New York, 1973), Vol. 13.
17. W. C. Bickley, Philos. Mag. 23, 727 (1937).
18. T. H. Solomon, W. J. Holloway, and H. L. Swinney, Phys. Fluids 5, 1971 (1993).
19. D. del-Castillo-Negrete, Phys. Fluids 3, 576 (1998).
20. L. J. Pratt, M. S. Lozier, and A. J. Beliakova, J. Phys. Oceanogr. 25, 1451 (1995).
21. F. B. Lipps. J. Fluid Mech. 12, 397 (1962).
22. R. I. McLachlan and P. Atela, Nonlinearity 5, 541 (1992).
23. J. D. Meiss, Rev. Mod. Phys. 64, 795 (1992).
24. S. Benkadda, S. Kassibrakis, R. White, and G. Zaslavsky, Phys. Rev. E 55, 4909 (1997).
25. G. M. Zaslavsky, M. Edelman, and B. Niyazov, Chaos 7, 159 (1997).
26. G. M. Zaslavsky and B. Niyazov, Phys. Plasmas 283, 73 (1997).
27. C. F. F. Karney, Physica D 8, 360 (1983).
28. V. Rom-Kedar and G. M. Zaslavsky (unpublished).
29. E. B. Vul, Ya. G. Sinai, and K. M. Khanin, Russ. Math. Surv. 39, 1-40 (1984).
30. P. Castiglione, A. Mazzino, P. Muratore-Ginanneschi, and A. Vulpani (unpublished).
31. B. V. Chirikov and D. L. Shepelyanski. Physica D 13, 394 (1984).
32. V. V. Beloshapkin and G. M. Zaslavsky, Phys. Lett. A 97, 121 (1993).
33. R. Ishizaki, H. Hata, T. Horita, and H. Mori, Prog. Theor. Phys. 84, 179 (1990).
34. B. A. Petrovichev, A. V. Rogalsky, R. Z. Sagdeev, and G. M. Zaslavsky, Phys. Lett. A 150, 391 (1990).
35. G. M. Zaslavsky, D. Stivens, and H. Weitzner, Phys. Rev. E 47, 1683 (1993).
36. T. Geisel, A. Zacherl, and G. Radoni, Phys. Rev. Lett. 59, 2503 (1987).
37. G. Zumofen and J. Klafter, Phys. Rev. E 47, 851 (1993).
38. J. Klafter, G. Zumofen, and M. F. Shlesinger, in Ref. 4, p. 196.
39. V. V. Afanas'ev, R. Z. Sagdeev, and G. M. Zaslavsky, Chaos 1, 143 (1991).
40. R. B. White, S. Benkadda, S. Kassibrakis, and G. Zaslavsky, Chaos 8, 757 (1998).
41. S. Benkadda, S. Kassibrakis, R. White, and G. Zaslavsky, Phys. Rev. E 59, 3761 (1999).