Tunable front interaction and localization of periodically forced waves

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 6, 2002, Pages

  Crawford, Catherine ^a   Riecke, Hermann ^a  

^a Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY-MIXTURE CONVECTION; COUNTERPROPAGATING WAVES; ELECTROCONVECTION; NONLINEAR TRAVELLING WAVES;

BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; NEMATIC LIQUID CRYSTALS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS;

TRAVELING WAVE TUBES;

EID: 41349120182     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.066307     Document Type: Article

References (51)

1. B. Baxter and C. Andereck, Phys. Rev. Lett. 57, 3046 (1986).
2. J. Hegseth, J. Vince, M. Dubois, and P. Bergé, Europhys. Lett. 17, 413 (1992).
3. T. Mahr and I. Rehberg, Phys. Rev. Lett. 81, 89 (1998).
4. A. Simon, J. Bechhoefer, and A. Libchaber, Phys. Rev. Lett. 61, 2574 (1988).
5. M. Rabaud, S. Michalland, and Y. Couder, Phys. Rev. Lett. 64, 184 (1990).
6. H. Cummins, L. Fourtune, and M. Rabaud, Phys. Rev. E 47, 1727 (1993).
7. M. Gorman, M. el Hamdi, and K. Robbins, Combust. Sci. Technol. 98, 71 (1994).
8. R. Wiener and D. McAlister, Phys. Rev. Lett. 69, 2915 (1992).
9. P. Umbanhowar, F. Melo, and H. Swinney, Nature (London) 382, 793 (1996).
10. O. Lioubashevski, et al., Phys. Rev. Lett. 83, 3190 (1999).
11. E. Moses, J. Fineberg, and V. Steinberg, Phys. Rev. A 35, 2757 (1987).
12. P. Kolodner, D. Bensimon, and C. Surko, Phys. Rev. Lett. 60, 1723 (1988).
13. J. Niemela, G. Ahlers, and D. Cannell, Phys. Rev. Lett. 64, 1365 (1990).
14. P. Kolodner, Phys. Rev. Lett. 66, 1165 (1991).
15. P. Kolodner, Phys. Rev. E 50, 2731 (1994).
16. M. Dennin, G. Ahlers, and D. Cannell, Phys. Rev. Lett. 77, 2475 (1996).
17. H. Riecke, in Pattern Formation in Continuous and Coupled Systems—A Survey Volume, edited by M. Golubitsky, D. Luss, and S. Strogatz (Springer, New York, 1999), pp. 215–229.
18. H. Brand and R. Deissler, Phys. Rev. Lett. 63, 508 (1989).
19. H. Brand and R. Deissler, Phys. Rev. A 41, 5478 (1990).
20. R. Deissler, Y. Lee, and H. Brand, Phys. Rev. A 42, 2101 (1990).
21. H. Riecke, in Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems, edited by F. Busse and L. Kramer (Plenum Press, New York, 1990), pp. 437–444.
22. D. Raitt and H. Riecke, Physica D 82, 79 (1995).
23. Y. Pomeau, Physica D 23, 3 (1986).
24. D. Bensimon, B. Shraiman, and V. Croquette, Phys. Rev. A 38, 5461 (1988).
25. C. Crawford and H. Riecke, Physica D 129, 83 (1999).
26. S. Fauve and O. Thual, Phys. Rev. Lett. 64, 282 (1990).
27. B. Malomed and A. Nepomnyashchy, Phys. Rev. A 42, 6009 (1990).
28. V. Hakim and Y. Pomeau, Eur. J. Mech. B/Fluids 10, 137 (1991) No. 2 supplement.
29. H. Riecke, Phys. Rev. Lett. 68, 301 (1992).
30. H. Herrero and H. Riecke, Physica D 85, 79 (1995).
31. H. Riecke and W.-J. Rappel, Phys. Rev. Lett. 75, 4035 (1995).
32. H. Riecke, Physica D 92, 69 (1996).
33. C. Elphick and E. Meron, Phys. Rev. A 40, 3226 (1989).
34. O. Thual and S. Fauve, J. Phys. (Paris) 49, 1829 (1988).
35. J. Lega and S. Fauve, Physica D 102, 234 (1997).
36. H. Riecke and G.D. Granzow, Phys. Rev. Lett. 81, 333 (1998).
37. S. Cox and P. Matthews, Physica D 149, 210 (2001).
38. B. Caroli, C. Caroli, and S. Fauve, J. Phys. I 2, 281 (1992).
39. H. Riecke and H.-G. Paap, Phys. Rev. A 45, 8605 (1992).
40. L. Tsimring and I. Aranson, Phys. Rev. Lett. 79, 213 (1997).
41. H. Riecke, J.D. Crawford, and E. Knobloch, Phys. Rev. Lett. 61, 1942 (1988).
42. D. Walgraef, Europhys. Lett. 7, 485 (1988).
43. H. Riecke, J.D. Crawford, and E. Knobloch, in The Geometry of Nonequilibrium, edited by P. Coullet and P. Huerre (Plenum Press, New York, 1990), pp. 61–64.
44. M. Treiber and L. Kramer, Phys. Rev. E 58, 1973 (1998).
45. A. Roxin and H. Riecke, Physica D 156, 19 (2001).
46. C. Martel and J. Vega, Nonlinearity 9, 1129 (1996).
47. M. van Hecke, Phys. Rev. Lett. 80, 1896 (1998).
48. N.N. Akhmediev, A. Ankiewicz, and J.M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
49. R. Deissler and H. Brand, Phys. Rev. Lett. 72, 478 (1994).
50. H. Herrero and H. Riecke, Phys. Lett. A 235, 493 (1997).
51. J.M. Soto-Crespo, N. Akhmediev, and A. Ankiewicz, Phys. Rev. Lett. 85, 2937 (2000).