Controlling extended systems with spatially filtered, time-delayed feedback

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

Volumn 55, Issue 3, 1997, Pages 2119-2126

  Bleich, M E ^a   Hochheiser, D ^b   Moloney, J V ^b   Socolar, J E S ^a  

^a DUKE UNIVERSITY   (United States)

^b The University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001091883     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.2119     Document Type: Article

References (19)

1. E. Ott and M. Spano, Phys. Today48, (5), 34 (1995), and references therein.
2. D. Hochheiser, J. Lega, and J V. Moloney (unpublished).
3. M E. Bleich and J. E. S. Socolar, Phys. Rev. E57, R16 (1996).
4. For a discussion of the experimental implementation of including past comparisons recursively in the context of an electrical circuit, see Ref. 5.
5. D J. Gauthier, D W. Sukow, H M. Concannon, and J. E S. Socolar, Phys. Rev. E50, 2343 (1994);
6. J. E. S. Socolar, D W. Sukow and D J. Gauthier, Phys. Rev. Eibid. 50, 3245 (1994).
7. K. Pyragas, Phys. Lett. A170, 421 (1992);
8. K. Pyragas and A. Tamas̆evic̆ius, Phys. Lett. Aibid. 180, 99 (1993);
9. A. Kittel, J. Parisi and K. Pyragas, Phys. Lett. Aibid. 198, 433 (1995).
10. W. Lu, D. Yu and R G. Harrison, Phys. Rev. Lett.76, 3316 (1996).
11. D. Battogtokh and A. Mikhailov, Physica D90, 84 (1996).
12. C. Bowman(unpublished).
13. J. Lega, J V. Moloney and A C. Newell, Phys. Rev. Lett.73, 2978 (1994);
14. J. Lega, J V. Moloney and A C. Newell, Physica D83, 478 (1995).
15. In contrast to the semiconductor model, the regular laser Swift-Hohenberg equations support traveling waves that are stable within a region in parameter space known as the Busse balloon.
16. C H. Henry, IEEE J. Quantum Electron.QE-18, 259 (1982).
17. W W. Chow, S W. Koch, and M. Sargent, Semiconductor Laser Physics (Springer, Heidelberg, 1994).
18. M E. Bleich and J. E. S. Socolar, Phys. Lett. A210, 87 (1996).
19. The small mode separation 2Δ is assumed to have a magnitude that is first order in the expansion of Ref. 10.