Fractality, chaos, and reactions in imperfectly mixed open hydrodynamical flows

Physica A: Statistical Mechanics and its Applications

Volumn 274, Issue 1, 1999, Pages 120-131

  Péntek, Á ^a   Karolyi G ^b   Scheuring, I ^c   Tel T ^d   Toroczkai, Z ^e   Kadtke, J ^a   Grebogi, C ^f  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^c E   (Hungary)

^d EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^e Bldg 142   (United States)

^f UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; FRACTALS; KINETIC THEORY; MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER); STATISTICAL MECHANICS;

MACROSCOPIC TRANSPORT EQUATIONS;

HYDRODYNAMICS;

EID: 0343517488     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00408-2     Document Type: Article

References (55)

1. Aref H. J. Fluid Mech. 143:1984;1.
2. Aref H., Balachandar S. Phys. Fluids. 29:1986;3515.
3. Chaiken J., Chevray R., Tabor M., Tan Q.M. Proc. Roy. Soc. London A. 408:1986;165.
4. J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos and Transport, Cambridge University Press, Cambridge, 1989.
5. Crisanti A., Falcioni M., Paladin G., Vulpiani A. La Riv. Nuovo Cimento. 14:1991;207.
6. S. Wiggins, Chaotic Transport in Dynamical Systems, Springer, Berlin, 1992.
7. H. Aref (Ed.), Chaos applied to fluid mixing, (special issue) Chaos Solitons Fractals 4(6) (1994).
8. Rybka R.B.et al. Phys. Rev. E. 48:1993;757.
9. Solomon T.H., Gollub J.P. Phys. Rev. A. 38:1988;6280.
10. Solomon T.H., Weeks E.R., Swinney H.L. Physica D. 76:1994;70.
11. Pierrehumbert R.T. Chaos Solitons Fractals. 4:1994;1091.
12. Meleshko V.V., van Heijst G.J.F. Chaos. 4:1994;977.
13. V.V. Meleshko et al., Phys. Fluids A (1992) 2779.
14. Kadtke J.B., Novikov E.A. Chaos. 3:1993;543.
15. Sommerer J.C., Ott E. Science. 259:1993;281.
16. Sommerer J.C. Physica D. 76:1994;85.
17. Beigie D., Leonard A., Wiggins S. Chaos Solitons Fractals. 4:1994;749.
18. Aref H., Jones S.W., Mofina S., Zawadski I. Physica D. 37:1989;423.
19. Rom-Kedar V., Leonard A., Wiggins S. J. Fluid. Mech. 214:1990;347.
20. Shariff K., Pulliam T.H., Ottino J.M. Lect. Appl. Math. 28:1991;613.
21. Jung C., Ziemniak E. J. Phys. A. 25:1992;3929.
22. Jung C., Tél T., Ziemniak E. Chaos. 3:1993;555.
23. Ziemniak E., Jung C., Tél T. Physica D. 76:1994;123.
24. Péntek Á., Tél T., Toroczkai Z. J. Phys. A. 28:1995;2191.
25. Péntek Á., Tél T., Toroczkai Z. Fractals. 3:1995;33.
26. Péntek Á., Toroczkai Z., Tél T., Grebogi C., Yorke J.A. Phys. Rev. E. 51:1995;4076.
27. G. Károlyi, A. Péntek, T. Tél, Z. Toroczkai, Chaotic tracer dynamics in open hydrodynamical flows, in: E. Infeld, R. Żelazny, A. Galkowski (Eds.), Proceedings of International Conference on Nonlinear Dynamics, Chaotic and Complex Systems, Zakopane, Poland, 1995, Cambridge UP, Cambridge, 1997, pp. 24-38.
28. Kennedy J.A., Yorke J.A. Topology Appl. 80:1997;201.
29. Sanjuan M.A.et al. Chaos. 7:1997;125.
30. Sanjuan M.A.et al. Phys. Rev. Lett. 78:1997;1892.
31. Károlyi G., Tél T. Phys. Rep. 290:1997;125.
32. Provenzale A. Annu. Rev. Fluid. Mech. 31:1999;55.
33. A. Babiano, J.H.E. Cartwright, O. Piro, A. Provenzale, preprint, 1999.
34. T. Tél, in: Hao Bai-lin (Ed.), Directions in Chaos, Vol. 3, 1990, pp. 149-211; STATPHYS'19, World Scientific, Singapore, 1996, pp. 346-362.
35. T. Tél, in: Hao Bai-lin (Ed.), Directions in Chaos, Vol. 3, 1990, pp. 149-211; STATPHYS'19, World Scientific, Singapore, 1996, pp. 346-362.
36. Sommerer J.C., Ku H.-C., Gilreath H.E. Phys. Rev. Lett. 77:1996;5055.
37. Edouard S., Legras B., Zeitlin V. J. Geophys. Res. 101:1996;16 771.
38. Balluch M.G., Haynes P.H. J. Geophys. Res. 102:1997;23 487.
39. A. Mariotti, C.R. Mechoso, B. Legras, Ozone filaments from the southern polar night vortex, J. Geophys. Res. (1999) submitted for publication.
40. M. Van Dyke, An Album of Fluid Motion, The Parabolic Press, Stanford, 1982.
41. Metcalfe G., Ottino J.M. Phys. Rev. Lett. 72:1994;2875.
42. Metcalfe G., Ottino J.M. Chaos, Solitons Fractals. 6:1995;425.
43. Toroczkai Z., Károlyi G., Péntek Á., Tél T., Grebogi C. Phys. Rev. Lett. 80:1998;500.
44. Károlyi G., Péntek Á., Toroczkai Z., Tél T., Grebogi C. Phys. Rev. E. 59:1999;5468.
45. L.D. Landau, E.M. Lifschitz, Fluid Mechanics, Pergamon Press, Oxford, 1987.
46. Hutchinson G.E. Am. Nat. 95:1961;137.
47. Gause G.F., Witt A.A. Am. Nat. 69:1935;596.
48. Hardin G. Science. 131:1960;1292.
49. I. Scheuring, G. Károlyi, Á. Péntek, T. Tél, Z. Toroczkai, A model for resolving the plankton paradox: coexistence in open flows, Freshwater Biol. (1999) , in press.
50. Thomas W.H., Gibson C.H. J. Appl. Phycol. 2:1990;71.
51. Thomas W.H., Gibson C.H. Deep Sea Res. 37:1990;1583.
52. Gibson C.H., Thomas W.H. J. Geophys. Res. 100:1995;24 841.
53. S.A. Spall, K.J. Richards, A numerical model of mesoscale frontal instabilities and plankton dynamics, Deep-Sea Res., in press.
54. Edouard S., Legras B., Lefevre B., Eymard R. Nature. 384:1996;444.
55. Neufeld Z., López C., Haynes P.H. Phys. Rev. Lett. 82:1999;2606.