A domain wall between single-mode and bimodal states and its transition to dynamical behavior in inhomogeneous systems

Physica D: Nonlinear Phenomena

Volumn 101, Issue 1-2, 1997, Pages 131-156

  Van Hecke, M ^a   Malomed, B A ^b  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; CHAOS THEORY; DIFFERENTIAL EQUATIONS; DIFFUSION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; THERMAL CONDUCTIVITY;

DOMAIN WALLS; INHOMOGENEOUS SYSTEMS; NONLINEAR DIFFUSION; ORDINARY DIFFERENTIAL EQUATION;

HYDRODYNAMICS;

EID: 0031079316     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00211-4     Document Type: Article

References (25)

1. M.C. Cross, Phys. Rev. Lett. 57 (1986) 2935.
2. B.A. Malomed, Zs. Phys. B (1984) 241.
3. P. Coullet, S. Fauve and E. Tirapegui, J. Phys. (Paris) Lett. 46 (1985) L-787, and references therein.
4. B.A. Malomed, A.A. Nepomnyashchy and M.I. Tribelsky, Phys. Rev. A 42 (1990) 7244.
5. B.A. Malomed, Phys. Rev. E 47 (1993) R2257.
6. B.A. Malomed, Phys. Rev. E 50 (1994) 4249.
7. L. Kramer, E. Ben-Jacob and A.H. Brand, Phys. Rev. Lett. 49 (1982) 1891;
8. H. Riecke and A.H.G. Paap, Europhys. Lett. 14 (1991) 433.
9. M. van Hecke and W. van Saarloos, to Phys. Rev. E submitted;
10. M.L. van Hecke, Thesis Leiden University, (1996) (unpublished).
11. F. Zhong, R. Ecke and V. Steinberg, Phys. Rev. Lett. 67 (1991) 2473.
12. L. Ning and R.E. Ecke, Phys. Rev. E 47 (1993) 3326.
13. H.F. Goldstein, E. Knobloch, I. Mercader and M. Net, J. Fluid Mech. 248 (1993) 583.
14. E.Y. Kuo and M.C. Cross, Phys. Rev. E 47 (1993) 2245.
15. F. Busse, Rep. Progr. Phys. 41 (1979) 1930.
16. V.S. Gertsberg and G.I. Sivashinsky, Progr. Theoret. Phys. 66 (1981) 1219.
17. R.B. Hoyle, Phys. Rev. E 51 (1995) 310.
18. B.A. Malomed, Phys. Rev. 50 (1994) R3310.
19. J.M. Chomaz, P. Huerre and L.G. Redekopp, Phys. Rev. Lett. 60 (1988) 25.
20. W. Eckhaus, Nonlinear Stability Theory (Springer, Berlin, 1965).
21. L. Kramer and A. Baratoff, Phys. Rev. Lett. 38 (1977) 518;
22. L. Kramer and R. Rangel, J. Low Temp. Phys. 57 (1984) 391.
23. M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65 (1993) 851.
24. H. Sakaguchi, Localized solutions to the coupled complex Ginzburg-Landau equations, preprint (1995).
25. W. van Saarloos and P.C. Hohenberg, Physica D 56 (1992) 303.