Control of chaotic Taylor-Couette flow with time-delayed feedback

Physical Review Letters

Volumn 86, Issue 9, 2001, Pages 1745-1748

  Luthje O ^a   Wolff, S ^a   Pfister, G ^a  

^a UNIVERSITY OF KIEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAOS THEORY; FEEDBACK; LASER DOPPLER VELOCIMETERS; NUMERICAL METHODS; REYNOLDS NUMBER; VISCOSITY OF LIQUIDS;

TAYLOR-COUETTE FLOW; TIME DELAYED FEEDBACK;

FLOW CONTROL;

EID: 0142109062     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.1745     Document Type: Article

References (18)

1. E. Ott, C. Grebogi, and J. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
2. W. Ditto, S. Rauseo, and M. Spano, Phys. Rev. Lett. 65, 3211 (1990).
3. E. Hunt, Phys. Rev. Lett. 67, 1953 (1991).
4. R. Roy et al., Phys. Rev. Lett. 68, 1259 (1992).
5. P. Parmananda, P. Sherard, R. Rollins, and H. Dewald, Phys. Rev. E 47, 3003 (1993).
6. R. Wiener, D. C. Dolby, G. Gibbs, B. Squires, T. Olsen, and A. Smiley, Phys. Rev. Lett. 83, 2340 (1999).
7. K. Pyragas, Phys. Lett. A 170, 421 (1992).
8. J. Socolar, D. Sukow, and D. Gauthier, Phys. Rev. E 50, 3245 (1994).
9. K. Pyragas, Phys. Lett. A 206, 323 (1995).
10. R. de Korte, J. Schouten, and C. van den Bleek, Phys. Rev. E 52, 3358 (1995).
11. A. Namajünas, K. Pyragas, and A. Tamaşevičius, Phys. Lett. A 204, 255 (1995).
12. H. Nakajima and Y. Ueda, Phys. Rev. E 58, 1757 (1998).
13. W. Just et al., Phys. Rev. Lett. 78, 203 (1997).
14. G. Pfister, H. Schmidt, K. Cliffe, and T. Mullin, J. Fluid Mech. 191, 1 (1988).
15. Lecture Notes in Physics: Physics of Rotating Fluids, edited by C. Egbers and G. Pfister (Springer, New York, 2000).
16. T. Buzug, J. von Stamm, and G. Pfister, Phys. Rev. E 47, 1054 (1993).
17. F. Takens, in Lecture Notes in Mathematics: Dynamical Systems and Turbulence (Warwick 1980), edited by D. A. Rand and L.-S. Young (Springer, New York, 1981), Vol. 898, pp. 366-381.
18. W. Just, D. Reckwerth, E. Reibold, and H. Benner, Phys. Rev. E 59, 2826 (1999).