Forced periodic and quasi-periodic patterns in anisotropic systems

Journal de Physique II

Volumn 6, Issue 2, 1996, Pages 305-328

  Ogawa, Atsushi ^a,b   Zimmermann, Walter ^b,c   Kawasaki, Kyozi ^b,c   Kawakatsu, Toshihiro ^b,c,d  

^a UNIVERSITY OF FUKUI   (Japan)

^b KYUSHU UNIVERSITY   (Japan)

^c FORSCHUNGSZENTRUM JÜLICH   (Germany)

^d TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345945838     PISSN: 11554312     EISSN: None     Source Type: Journal    
DOI: 10.1051/jp2:1996183     Document Type: Article

References (48)

1. (a) Hydrodynamical Instabilities and the Transition to Turbulence, H.L. Swinney and J.P. Gollub Eds. (Springer, New York, 1981);
2. (b) Propagation in Systems Far from Equilibrium, J.E. Wesfreid, H. R. Brand, P. Manneville, G. Albinet and N. Boccara Eds. (Springer-Verlag, New York, 1988);
3. (c) New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium, P. Coullet and P. Huerre Eds. (Plenum Press, New York, 1990);
4. (d) Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems, F. H. Busse and L. Kramer Eds. (Plenum Press, New York, 1990);
5. (e) Nonlinear Science: The Next Decade, D. Campbell, R. Ecke and J. M. Hyman Eds., Special issue in Physica D51 (1990).
6. Lowe M., Gollub J. P. and Lubensky T., Phys. Rev. Lett. 51 (1983) 786;
7. Lowe M. and Gollub J. P., Phys. Rev. A31 (1985) 3893;
8. Lowe M., Albert B.S. and Gollub J.B., J. Fluid Mech. 173 (1986) 253.
9. Coullet P., Phys. Rev. Lett. 56 (1986) 724;
10. Coullet P. and Repaux D., Europhys. Lett. 3 (1987) 573.
11. Lubensky T.C. and Ingersent K., in "Patterns, Defects and Microstructures in Nonequilibrium Systems", NATO ASI Series E121, D. Walgraef Ed. (Martinus Nijhof, Dordrecht, 1987) pp.48-72.
12. Pismen L., Phys. Rev. Lett. 59 (1987) 2740.
13. Coullet P., Gil L. and Repaux D., in "Instabilities and Nonequilibrium Structures II", E. Tirapequi and D. Villaroel Eds. (Kluwer, Dordrecht, 1987) pp. 189-205.
14. Kawasaki K., Jpn J. Appl. Phys. Suppl. 24 (1985) 51.
15. Coullet P. and Walgraef D., Europhys. Lett. 10 (1989) 525.
16. Bak P., Rep. Prog. Phys. 45 (1982) 587;
17. Pokrovsky V. L. and Talapov A. L., Theory of Incommensurate Crystals (Harwood, Amsterdam, 1984);
18. and for a recent review see Selke W., in "Phase Transitions and Critical Phenomena", Vol. 15, C. Domb and J. L. Lebowitz Eds.
19. Busse F.H., in Ref. [1a], p. 97; Prog. Theor. Phys. 41 (1978) 1929.
20. Coullet P. and Iooss G., Phys. Rev. Lett. 64 (1990) 866.
21. Nasuno S., Sasaki O., Kai S. and Zimmermann W., Phys. Rev. A46 (1992) 4954.
22. Zimmermann W., Ogawa A., Kai S., Kawasaki K. and Kawakatsu T., Europhys. Lett. 24 (1993) 217.
23. For a recent overviews see Zimmermann W., Mat. Res. Bull. 16 (1991) 46;
24. Kramer L. and Pesch W., Annu. Rev. Fluid Mech. 27 (1995) 515.
25. Ribotta R., Joets A. and Lei L., Phys. Rev. Lett. 56 (1986) 1595.
26. Zimmermann W. and Kramer L., Phys. Rev. Lett. 55 (1985) 402.
27. Bodenschatz E., Zimmermann W. and Kramer L., J. Phys. France 49 (1988) 1875.
28. Berge L.I., Ahlers G., Cannell D., Phys. Rev. E48 (1993) R3236.
29. Zimmermann W., PH.D. Thesis, University of Bayreuth (1987);
30. Feng Q., Pesch W. and Kramer L., Phys. Rev. A45 (1992) 7242.
31. Newell A. C. and Whitehead J. A., J. Fluid Mech. 38 (1969) 279;
32. Segel L. A., J. Fluid Mech. 38 (1969) 203.
33. For an overview see e.g. Newell A. C., in Ref. [1b], p. 122.
34. Schöpf W. and Zimmermann W., Phys. Rev. E 47 (1993) 1739.
35. Pesch W. and Kramer L., Z. Phys. B 63 (1986) 121;
36. Bodenschatz E., Kaiser M., Kramer L., Pesch W., Weber A. and Zimmermann W., in "Pattern Forming Phenomena: The Geometry of Nonequiribrium", P. Coullet and P. Huerre Eds., NATO ASI Series (Plenum Press, 1990).
37. Hornreich R.M., Luban M. and Shtrikman S., Phys. Rev. Lett. 35 (1975) 1678.
38. Zimmermann W., Armbruster D., Kramer L. and Kuang W., Europhys. Lett. 6 (1988) 505;
39. de la Torre Juárez M., Zimmermann W. and Rehberg I., in "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems", NATO ASI Series B2, Vol. 255, F. H. Busse and L. Kramer Eds. (Plenum, New York, 1990).
40. Kramer L. and Zimmermann W., Physica D16 (1985) 221.
41. Ogawa A., Kawasaki K., Zimmermann W. and Kawakatsu T., in "Dynamics and Patterns in Complex Fluids", A. Onuki and K. Kawasaki Eds. (Springer, 1990) p. 78.
42. Busse F.H. and Auer M., Phys. Rev. Lett. 72 (1994) 3178.
43. See for instance Bodenschatz E. et al, Phys. Rev. Lett. 67 (1991) 3078;
44. Ciliberto S., Pampaloni E., Perez-Carcia C., Phys. Rev. Lett. 61 (1988) 1198 and references therein.
45. Bak P. and von Boehm J., Phys. Rev. B21 (1980) 5297.
46. Busse F. H. and Clever R. M., J. Eng. Math. 26 (Kluwer Acad. Publ., Amsterdam, 1992) 1.
47. Dawson K. A., Lipkin M. D. and Widom B., J. Chem. Phys. 88 (1988) 5149.
48. Zimmermann W., in "Defects, Singularities in Nematic Liquid Crystals: Mathematical and Physical Aspects", NATO ARW, J. M. Coron, J. M. Ghidaglia and F. Helen Eds. (Kluwer, Dortrecht, NL, 1991).