Multifrequency control of Faraday wave patterns

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 6 2, 2004, Pages

  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

BIFURCATION (MATHEMATICS); DAMPING; FOURIER TRANSFORMS; HARMONIC ANALYSIS; NATURAL FREQUENCIES; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; RESONANCE; SET THEORY; TUNING; WAVE EFFECTS;

FARADAY WAVES; FOURIER COMPONENTS; NONLINEAR COUPLING; PATTERN FORMATION; PERIODIC FORCING FUNCTION; RESONANT TRIAD INTERACTIONS;

FARADAY EFFECT;

EID: 41349123679     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.066206     Document Type: Article

References (45)

1. M. Faraday, Philos. Trans. R. Soc. London 121, 319 (1831).
2. J. Miles and D. Henderson, Annu. Rev. Fluid Mech. 22, 143 (1990).
3. H. W. Müllier, 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. 71, 3287 (1993).
5. W. S. Edwards and S. Fauve, Phys. Rev. E 47, R788 (1993).
6. W. S. Edwards and S. Fauve, J. Fluid Mech. 278, 123 (1994).
7. A. Kudrolli, B. Pier, and J. P. Gollub, Physica D 123, 99 (1998).
8. H. Arbell and J. Fineberg, Phys. Rev. Lett. 81, 4384 (1998).
9. H. Arbell and J. Fineberg, Phys. Rev. Lett. 84, 654 (2000).
10. H. Arbell and J. Fineberg, Phys. Rev. Lett. 85, 756 (2000).
11. H. Arbell and J. Fineberg, Phys. Rev. E 65, 036224 (2002).
12. T. Besson, W. S. Edwards, and L. Tuckerman, Phys. Rev. E 54, 507 (1996).
13. W. Zhang and J. Viñals, J. Fluid Mech. 341, 225 (1997).
14. R. Lifshitz and D. M. Petrich, Phys. Rev. Lett. 79, 1261 (1997).
15. M. Silber and M. R. E. Proctor, Phys. Rev. Lett. 81, 2450 (1998).
16. M. Silber, C. M. Topaz, and A. C. Skeldon, Physica D 143, 205 (2000).
17. D. P. Tse, A. M. Rucklidge, R. B. Hoyle, and M. Silber, Physica D 146, 367 (2000).
18. C. M. Topaz and M. Silber, Physica D 172, 1 (2002).
19. J. Porter and M. Silber, Phys. Rev. Lett. 89, 084501 (2002).
20. J. Porter, C. M. Topaz, and M. Silber, Phys. Rev. Lett. 93, 034502 (2004).
21. W. Zhang and J. Viñals, J. Fluid Mech. 336, 301 (1997).
22. A. Catllá, J. Porter, and M. Silber, preprint (2004).
23. M. Silber and A. C. Skeldon, Phys. Rev. E 59, 5446 (1999).
24. J. Porter and M. Silber, Physica D 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. 2, 190 (1968).
27. L. J. F. Broer, Appl. Sci. Res. 29, 430 (1974).
28. J. W. Miles, J. Fluid Mech. 83, 153 (1977).
29. S. T. Milner, J. Fluid Mech. 225, 81 (1991).
30. A. C. Radder, J. Fluid Mech. 237, 435 (1992).
31. P. Lyngshansen and P. Alstrom, J. Fluid Mech. 351, 301 (1997).
32. V. P. Krasitskii, J. Fluid Mech. 272, l (1994).
33. T. Mahr, A. Groisman, and I. Rehberg, J. Magn. Magn. Mater. 159, L45 (1996).
34. J. Bechhoefer and B. Johnson, Am. J. Phys. 64, 1482 (1996).
35. B. Dionne and M. Golubitsky, ZAMP 43, 36 (1992).
36. B. Dionne, M. Silber, and A. C. Skeldon, Nonlinearity 10, 321 (1997).
37. B. Christiansen, P. Alstrom, and M. T. Levinsen, Phys. Rev. Lett. 68, 2157 (1992).
38. A. C. Newell and Y. Pomeau, J. Phys. A 26, L429 (1993).
39. B. Echebarria and H. Riecke, Physica D 158, 45 (2001).
40. A. M. Rucklidge and W. J. Rucklidge, Physica D 78, 62 (2003).
41. P. Chossat, Dynam. Cont. Dis. Ser. A 8, 575 (2001).
42. T. Epstein and J. Fineberg, Phys. Rev. Lett. 92, 244502 (2004).
43. J. L. Rogers, M. F. Schatz, J. L. Bougie, and J. B. Swift, Phys. Rev. Lett. 84, 87 (2000).
44. J. L. Rogers, M. F. Schatz, O. Brausen, and W. Pesch, Phys. Rev. Lett. 85, 4281 (2000).
45. J. L. Rogers, W. Pesch, and M. F. Schatz, Nonlinearity 16, C1 (2003).