From low- to high-dimensional dynamics in a microscopic fluid flow

Physical Review Letters

Volumn 82, Issue 7, 1999, Pages 1446-1449

  Peacock, T ^a,b   Binks, D J ^a   Mullin, T ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b University of Colorado at Boulder   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003317378     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.82.1446     Document Type: Article

References (27)

1. H. L. Swinney, and J. P. Gollub, Hydrodynamic Instabilities and the Transition to Turbulence, (Springer-Verlag, Berlin, 1981).
2. A. L̇ibchaber, and J. Maurer, J. Phys. (Paris), Colloq. 41, C3-51, (1980).
3. J. von Stamm, Th. Buzug, and G. Pfister, Phys. Lett. A, 194, 173, (1994).
4. Th. Buzug, J. von Stamm, and G. Pfister, Phys. Rev. E, 47, 1054, (1993).
5. L. Kramer, and W. Pesch, in Pattern Formation in Liquid Crystals, (Springer-Verlag, New York, 1996).
6. M. Dennin, D. S. Cannell, and G. Ahlers, Phys. Rev. E, 57, 638, (1998).
7. T. Mullin, The Nature of Chaos, (Oxford University Press, New York, 1993).
8. Y. Tsuchiya, S. Horie, and H. Itakura, J. Phys. Soc. Jpn. 57, 669, (1988).
9. P. G. deGennes, and J. Prost, The Physics of Liquid Crystals, (Oxford University Press, New York, 1995).
10. T. B. Benjamin, Proc. R. Soc. London A, 359, 1, (1978).
11. D. J. Binks, and T. Mullin, Proc. R. Soc. London A, 453, 2109, (1997).
12. S. Kai, and K. Hirakawa, Prog. Theor. Phys. Suppl. 64, 212, (1978).
13. C-Y. Yang, et al. J. Phys. Soc. Jpn. 55, 703, (1986).
14. I. Rehberg, et al. Phys. Rev. Lett. 67, 596, (1991).
15. F. Takens, Publ. Math. IHES, 43, 47, (1974).
16. R. I. Bogdanov, Funct. Anal. Appl. 9, 144, (1975).
17. P. Gaspard, J. Phys. Chem. 94, 1, (1990).
18. I. Rehberg, and G. Ahlers, Phys. Rev. Lett. 55, 500, (1985).
19. T. Mullin, K. A. Cliffe, and G. Pfister, Phys. Rev. Lett. 58, 2212, (1987).
20. T. Mullin, S. Tavener, and K. A. Cliffe, Europhys. Lett. 8, 251, (1989).
21. T. Peacock, and T. Mullin, (to be published).
22. L. P. Shil'nikov, Sov. Math. Dokl. 6, 163, (1965).
23. A. Arnéodo, P. Coullet, and C. Tresser, Phys. Lett. 81A, 197, (1981).
24. P. Manneville, Dissipative Structures and Weak Turbulence, (Academic Press, Boston, 1990).
25. M. C. Cross, and P. C. Hohenberg, Rev. Mod. Phys. 65, 851, (1993).
26. A. Joets, and R. Ribotta, J. Phys. (Paris), 47, 595, (1986).
27. A. Libchaber, Proc. R. Soc. London A, 413, 63, (1987).