Symmetry breaking via global bifurcations of modulated rotating waves in hydrodynamics

Physical Review Letters

Volumn 94, Issue 7, 2005, Pages

  Abshagen, Jan ^a   Lopez, Juan M ^b   Marques, Francisco ^c   Pfister, Gerd ^a  

^a UNIVERSITY OF KIEL   (Germany)

^b ARIZONA STATE UNIVERSITY   (United States)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

AZIMUTHAL DIRECTION; CYCLCI PITCHFORK (CP) BIFURCATION; LASER DOPPLER VELOCIMETRY (LDV); TAYLOR-COUETTE FLOW;

COMPUTATIONAL COMPLEXITY; DOPPLER EFFECT; HYDRODYNAMICS; LARGE SCALE SYSTEMS; NAVIER STOKES EQUATIONS; TURBULENCE; VELOCIMETERS;

BIFURCATION (MATHEMATICS);

EID: 18144422069     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.074501     Document Type: Article

References (19)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993); P. Glendinning and C. Sparrow, J. Stat. Phys. 35, 645 (1984); T. Mullin and T.J. Price, Nature (London) 340, 294 (1989).
2. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993); P. Glendinning and C. Sparrow, J. Stat. Phys. 35, 645 (1984); T. Mullin and T.J. Price, Nature (London) 340, 294 (1989).
3. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993); P. Glendinning and C. Sparrow, J. Stat. Phys. 35, 645 (1984); T. Mullin and T.J. Price, Nature (London) 340, 294 (1989).
4. T.B. Benjamin, Proc. R. Soc. London A 359, 1 (1978); 359, 27 (1978); T. Mullin, J. Fluid Mech. 121, 207 (1982).
5. T.B. Benjamin, Proc. R. Soc. London A 359, 1 (1978); 359, 27 (1978); T. Mullin, J. Fluid Mech. 121, 207 (1982).
6. T.B. Benjamin, Proc. R. Soc. London A 359, 1 (1978); 359, 27 (1978); T. Mullin, J. Fluid Mech. 121, 207 (1982).
7. J.M. Lopez and F. Marques, Phys. Rev. Lett. 85, 972 (2000); J. Abshagen, G. Pfister, and T. Mullin, ibid. 87, 224501 (2001).
8. J.M. Lopez and F. Marques, Phys. Rev. Lett. 85, 972 (2000); J. Abshagen, G. Pfister, and T. Mullin, ibid. 87, 224501 (2001).
9. S. P. Meacham, J. Phys. Oceanogr. 30, 269 (2000); E. Siraonnet et al., ibid. 33, 729 (2003); A. Algaba et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 291 (1999); P. Glendinning, J. Abshagen, and T. Mullin, Phys. Rev. E 64, 036208 (2001).
10. S. P. Meacham, J. Phys. Oceanogr. 30, 269 (2000); E. Siraonnet et al., ibid. 33, 729 (2003); A. Algaba et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 291 (1999); P. Glendinning, J. Abshagen, and T. Mullin, Phys. Rev. E 64, 036208 (2001).
11. S. P. Meacham, J. Phys. Oceanogr. 30, 269 (2000); E. Siraonnet et al., ibid. 33, 729 (2003); A. Algaba et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 291 (1999); P. Glendinning, J. Abshagen, and T. Mullin, Phys. Rev. E 64, 036208 (2001).
12. S. P. Meacham, J. Phys. Oceanogr. 30, 269 (2000); E. Siraonnet et al., ibid. 33, 729 (2003); A. Algaba et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 291 (1999); P. Glendinning, J. Abshagen, and T. Mullin, Phys. Rev. E 64, 036208 (2001).
13. U. Gerdts et al., Phys. Rev. E 49, 4019 (1994); J. von Stamm et al., ibid. 54, 4938 (1996).
14. U. Gerdts et al., Phys. Rev. E 49, 4019 (1994); J. von Stamm et al., ibid. 54, 4938 (1996).
15. J.M. Lopez, F. Marques, and J. Shen, J. Comput. Phys. 176, 384 (2002).
16. J. W. Swift and K. Wiesenfeld, Phys. Rev. Lett. 52, 705 (1984).
17. i), z = ±0.5Γ).
18. ±.
19. A low-pass filter with cutoff at 0.5 Hz was used to filter out the precession frequency.