Secondary instability mode of a roll pattern and transition to spatiotemporal chaos in the taylor-dean system

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

Volumn 58, Issue 3, 1998, Pages 3089-3097

  Bot, Patrick ^a   Cadot, Olivier ^a   Mutabazi, Innocent ^a  

^a UNIVERSITÉ DU HAVRE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001545293     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.3089     Document Type: Article

References (35)

1. P. Manneville, Structures Dissipatives, Chaos et Turbulence (Aléa, Saclay, 1991). The English version was published under the title Dissipative Structures and Weak Turbulence (Academic, New York, 1990).
2. M. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).RMPHAT
3. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961).
4. P. G. Drazin and W. H. Reid, Hydrodynamic Stability (Cambridge University Press, Cambridge, 1981).
5. P. Chossat and G. Iooss, The Couette-Taylor Problem (Springer-Verlag, New York, 1994).
6. E. L. Koschmieder, Bénard Cells and Taylor Vortices (Cambridge University Press, Cambridge, 1992).
7. V. Croquette, Contemp. Phys. 30, 113 (1989).CTPHAF
8. P. Kolodner, D. Bensimon, and C. M. Surko, Phys. Rev. Lett. 60, 1723 (1988).PRLTAO
9. C. D. Andereck, S. S. Liu, and H. L. Swinney, J. Fluid Mech. 164, 155 (1986).JFLSA7
10. P. Büchel, M. Lücke, and D. Roth, Phys. Rev. E 53, 4764 (1997). PLEEE8
11. Phys. Rev. ESee also A. Tzameret and V. Steinberg, 49, 4077 (1994)
12. Phys. Rev. Eor K. L. Babcock, G. Ahlers, and D. S. Cannell, 50, 3670 (1994).
13. I. Mutabazi, J. J. Hegseth, C. D. Andereck, and J. E. Wesfreid, Phys. Rev. A 38, 4752 (1988).PLRAAN
14. H. R. Brand, P. S. Lombdahl, and A. C. Newell, Physica D 23, 345 (1986).
15. Physica DSee also T. Passot and A. C. Newell, 74, 301 (1994).
16. J. M. Flesselles (private communication).
17. See also J. M. Flesselles, V. Croquette, and S. Jucquois, Phys. Rev. Lett. 72, 2871 (1994)
18. J. Lega, B. Janiaud, S. Jucquois, and V. Croquette, Phys. Rev. A 45, 103 (1992).PLRAAN
19. O. Thual and S. Fauve, J. Phys. (France) 49, 1829 (1988).JOPQAG
20. I. Mutabazi, J. J. Hegseth, C. D. Andereck, and J. E. Wesfreid, Phys. Rev. Lett. 64, 1729 (1990).PRLTAO
21. I. Mutabazi, C. Normand, H. Peerhossaini, and J. E. Wesfreid, Phys. Rev. A 39, 763 (1989).
22. See also F. Chen and M. H. Chang, J. Fluid Mech. 243, 443 (1992).JFLSA7
23. P. Laure and I. Mutabazi, Phys. Fluids 6, 3630 (1994).PHFLE6
24. S. G. T. Tennakoon, C. D. Andereck, J. J. Hegseth, and H. Riecke, Phys. Rev. E 54, 5053 (1996).PLEEE8
25. C. Normand, I. Mutabazi, and J. E. Wesfreid, Eur. J. Mech. B/Fluids 10, 335 (1991).
26. See also K. S. Chen, A. C. Ku, T. M. Chan, and S. Z. Yang, J. Fluid Mech. 213, 149 (1990). JFLSA7
27. J. Fluid Mech.Very recently, the same problem was analyzed from a mathematical point of view by P. H. Gaskell, M. D. Savage, and M. Wilson, 337, 263 (1997).
28. S. Fauve, S. Douady, and O. Thual, J. Phys. II 1, 311 (1991).JPAHER
29. M. R. Proctor and C. A. Jones, J. Fluid Mech. 188, 301 (1988).JFLSA7
30. I. Mutabazi and C. D. Andereck, Phys. Rev. Lett. 70, 1429 (1993)
31. I. MutabaziC. D. AndereckPhys. Rev. E 51, 4380 (1995).
32. M. Rabaud, S. Michalland, and Y. Couder, Phys. Rev. Lett. 64, 184 (1990).PRLTAO
33. D. Walgraef, Spatio-Temporal Pattern Formation (Springer, New York, 1996).
34. B. I. Shraiman, Phys. Rev. Lett. 57, 325 (1986).
35. Phys. Rev. Lett.See also H. Chaté and P. Manneville, 58, 112 (1987).