Multifrequency control of Faraday wave patterns

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

Volumn 70, Issue 6, 2004, Pages 16-

  Topaz, Chad M ^a   Porter, Jeff ^b   Silber, Mary ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF LEEDS   (United Kingdom)

^c Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85036248911     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.066206     Document Type: Article

References (45)

1. M. Faraday, Philos. Trans. R. Soc. LondonPTRSAV0370-2316 121, 319 (1831).
2. J. Miles and D. Henderson, Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fl.22.010190.001043 22, 143 (1990).
3. H. W. Müller, R. Friedrich, and D. Papathanassiou, in Evolution of Spontaneous Structures in Dissipative Continuous Systems, Lecture Notes in Physics Vol. 55, edited by F. Busse and S. C. Müller (Springer, Berlin, 1998), pp. 231–265.
4. H. W. Müller, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.71.3287 71, 3287 (1993).
5. W. S. Edwards and S. Fauve, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.47.R788 47, R788 (1993).
6. W. S. Edwards and S. Fauve, J. Fluid Mech.JFLSA70022-112010.1017/S0022112094003642 278, 123 (1994).
7. A. Kudrolli, B. Pier, and J. P. Gollub, Physica DPDNPDT0167-2789 123, 99 (1998).10.1016/S0167-2789(98)00115-8
8. H. Arbell and J. Fineberg, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.81.4384 81, 4384 (1998).
9. H. Arbell and J. Fineberg, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.84.654 84, 654 (2000).
10. H. Arbell and J. Fineberg, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.85.756 85, 756 (2000).
11. H. Arbell and J. Fineberg, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.65.036224 65, 036224 (2002).
12. T. Besson, W. S. Edwards, and L. Tuckerman, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.54.507 54, 507 (1996).
13. W. Zhang and J. Viñals, J. Fluid Mech.JFLSA70022-112010.1017/S0022112097005387 341, 225 (1997).
14. R. Lifshitz and D. M. Petrich, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.79.1261 79, 1261 (1997).
15. M. Silber and M. R. E. Proctor, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.81.2450 81, 2450 (1998).
16. M. Silber, C. M. Topaz, and A. C. Skeldon, Physica DPDNPDT0167-278910.1016/S0167-2789(00)00102-0 143, 205 (2000).
17. D. P. Tse, A. M. Rucklidge, R. B. Hoyle, and M. Silber, Physica DPDNPDT0167-278910.1016/S0167-2789(00)00124-X 146, 367 (2000).
18. C. M. Topaz and M. Silber, Physica DPDNPDT0167-278910.1016/S0167-2789(02)00564-X 172, 1 (2002).
19. J. Porter and M. Silber, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.89.084501 89, 084501 (2002).
20. J. Porter, C. M. Topaz, and M. Silber, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.93.034502 93, 034502 (2004).
21. W. Zhang and J. Viñals, J. Fluid Mech.JFLSA70022-112010.1017/S0022112096004764 336, 301 (1997).
22. A. Catllá, J. Porter, and M. Silber, preprint (2004).
23. M. Silber and A. C. Skeldon, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.59.5446 59, 5446 (1999).
24. J. Porter and M. Silber, Physica DPDNPDT0167-278910.1016/j.physd.2003.09.044 190, 93 (2004).
25. M. Golubitsky, I. Stewart, and D. G. Schaeffer, Singularities and Groups in Bifurcation Theory, Applied Mathematical Science Series No. 69 (Springer, New York, 1988), Vol. II.
26. V. E. Zakharov, J. Appl. Mech. Tech. Phys.JMPYAQ 2, 190 (1968).
27. L. J. F. Broer, Appl. Sci. Res.ASRHAU0003-699410.1007/BF00384164 29, 430 (1974).
28. J. W. Miles, J. Fluid Mech.JFLSA70022-1120 83, 153 (1977).10.1017/S0022112077001104
29. S. T. Milner, J. Fluid Mech.JFLSA70022-1120 225, 81 (1991).10.1017/S0022112091001970
30. A. C. Radder, J. Fluid Mech.JFLSA70022-1120 237, 435 (1992).10.1017/S0022112092003483
31. P. Lyngshansen and P. Alstrom, J. Fluid Mech.JFLSA70022-112010.1017/S0022112097007210 351, 301 (1997).
32. V. P. Krasitskii, J. Fluid Mech.JFLSA70022-1120 272, 1 (1994).
33. T. Mahr, A. Groisman, and I. Rehberg, J. Magn. Magn. Mater.JMMMDC0304-885310.1016/0304-8853(96)00297-1 159, L45 (1996).
34. J. Bechhoefer and B. Johnson, Am. J. Phys.AJPIAS0002-950510.1119/1.18412 64, 1482 (1996).
35. B. Dionne and M. Golubitsky, ZAMPZAMPDB0044-2275 43, 36 (1992).10.1007/BF00944740
36. B. Dionne, M. Silber, and A. C. Skeldon, NonlinearityNONLE50951-771510.1088/0951-7715/10/2/002 10, 321 (1997).
37. B. Christiansen, P. Alstrom, and M. T. Levinsen, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.68.2157 68, 2157 (1992).
38. A. C. Newell and Y. Pomeau, J. Phys. AJPHAC50305-4470 26, L429 (1993).10.1088/0305-4470/26/8/006
39. B. Echebarria and H. Riecke, Physica DPDNPDT0167-278910.1016/S0167-2789(01)00319-0 158, 45 (2001).
40. A. M. Rucklidge and W. J. Rucklidge, Physica DPDNPDT0167-2789 78, 62 (2003).
41. P. Chossat, Dynam. Cont. Dis. Ser. A 8, 575 (2001).
42. T. Epstein and J. Fineberg, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.92.244502 92, 244502 (2004).
43. J. L. Rogers, M. F. Schatz, J. L. Bougie, and J. B. Swift, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.84.87 84, 87 (2000).
44. J. L. Rogers, M. F. Schatz, O. Brausch, and W. Pesch, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.85.4281 85, 4281 (2000).
45. J. L. Rogers, W. Pesch, and M. F. Schatz, NonlinearityNONLE50951-771510.1088/0951-7715/16/1/401 16, C1 (2003).