Phase-locking modes in a bidimensional network of coupled water jets

Physica D: Nonlinear Phenomena

Volumn 99, Issue 2-3, 1996, Pages 318-338

  Houard, S ^a   Daviaud, F ^a   Berge P ^a  

^a SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

Author keywords

Bifurcation; Helical instability; Jet; Phase locking mode; Symmetry

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; OSCILLATORS (MECHANICAL); STABILITY; SURFACE WAVES; TOPOLOGY;

BIDIMENSIONAL NETWORK; COUPLED WATER JETS; HELICAL INSTABILITY; PHASE LOCKING MODES;

JETS;

EID: 0030399145     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00140-6     Document Type: Article

References (38)

1. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).
2. Y. Kuramoto and I. Nishikawa, J. Statist, Phys. 49 (1987) 569.
3. K. Kaneko, Physica D 41 (1990) 137;
4. Physica D 54 (1991) 5.
5. P.C. Matthews, R.E. Mirollo und S.H. Strogatz, Physica D 52 (1991) 293.
6. L. Fabini and K. Wiesenfeld, Phys. Rev. A 43 (1991) 2640.
7. V. Hakim and W.-J. Rappel, Phys. Rev. A 46 (1992) 7347.
8. N. Nakagawa and Y. Kuramoto, Progr. Theoret. Phys. 89 (1993) 313.
9. H.M. Smith, Science 82 (1935) 151.
10. M.J. Russell, G.M. Switz and K. Thompson, Pharmacol. Biochem. Behav. 13 (1980) 737.
11. A.T. Winfree, Scientific American Press (1987).
12. D.C. Michaels, E.P. Matyas and J. Jalife, Circulation Res. 61 (1987) 704.
13. J. Buck, Quart. Rev. Biol. 63 (1988) 265.
14. R.E. Mirollo and S.H. Strogatz, SIAM J. Appl. Math. 50 (1990) 1645.
15. J.J. Collins and I.N. Stewart, J. Nonlinear Sci. 3 (1993) 349.
16. A.T. Winfree, J. Theoret. Biol. 16 (1967) 15.
17. Y. Kuramoto, in: Int. Symp. on Mathematical Problems in Theoretical Physics. In: H. Araki, ed. (Springer, New York, 1975) 420.
18. G. Schöner, W.Y. Yiang and J.A.S. Kelso, J. Theoret. Biol. 142 (1990) 359.
19. P. Hadley, M.R. Beasley and K. Wiesenfeld, Phys. Rev. B 38 (1988) 8712.
20. P. Tabeling, S. Burkhart, O. Cardoso and H. Willaime, Phys. Rev. Lett. 67 (1991) 3772.
21. H.-G. Purwins and Ch. Radehaus, in: Neural and Synergetic Computers, ed. H. Haken (Springer, Berlin, 1988).
22. C.M. Ho and N.S. Nosseir, J. Fluid Mech. 105 (1981) 119.
23. C.C. Landreth and R.J. Adrain, Exp. Fluids 9 (1990) 74.
24. J. Stevens and B.W. Webbe, Int. J. Heat Mass Transf. (UK) 36 (1993) 4283.
25. D.G. Anthony, A. Hirsa and W.W. Willmarth, Phys. Fluids A 3 (1991) 245.
26. C.K. Madnia and L.P. Bernal, J. Fluid Mech. 261 (1994) 305.
27. E. Villermaux and E.J. Hopfinger, Physica D 72 (1994) 230.
28. S. Houard, F. Daviaud and P. Bergé, EuroPhys. Lett. 32 (2) (1995) 101.
29. E. Guyon, J.-P. Hulin and L. Petit, Hydrodynamique Physique, ed. InterEditions/Editions du CNRS (1991).
30. G. Batchelor and G. Gill, J. Fluid Mech. 14 (1962) 529.
31. A.J. Reynolds, J. Fluid Mech. 14 (1962) 552.
32. G.E. Mattingly and C.C. Chang, J. Fluid Mech. 65 (1974) 541.
33. M. Bonetti, R. Meynart, J.P. Boon and D. Olivari, Phys. Rev. Lett. 55 (1985) 492.
34. A. Maurel, Instabilité d'un jet confiné, Thèse de Doctorat de l'Université Paris VI, France (1994).
35. M. Lessen and P.J. Singh, J. Fluid Mech. 60 (1973) 433.
36. P.J. Morris, J. Fluid Mech. 77 (1976) 511.
37. E. Villermaux, Auto-oscillation et Mélange dans les écoulements recirculants, Thèse de Doctorat de l'Université Paris VI, France (1993).
38. M. Golubitsky and I.N. Stewart, Arch. Rational Mech. Anal. 87 (1985) 107.