Stabilization of stationary excitation pulses in an open flow without long-range inhibition

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 4, 2002, Pages

  Kærn, Mads ^a   Menzinger, Michael ^b  

^a Boston University   (United States)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EXCITATION PULSES; OPEN FLOW; PERIODIC STRUCTURE; REACTION-DIFFUSION SYSTEM;

BOUNDARY LAYERS; DIFFUSION; HYDRODYNAMICS; KINEMATICS; OSCILLATIONS; PERTURBATION TECHNIQUES; RELAXATION PROCESSES;

FLOW OF FLUIDS;

EID: 41349120200     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.046202     Document Type: Article

References (35)

1. A. M. Turing, Proc. R. Soc. London, Ser. B 237, 37 (1952).
2. V. Castets, E. Dulos, J. Boissonade, and P. DeKepper, Phys. Rev. Lett. 64, 2953 (1990).
3. Q. Ouyang and H. L. Swinney, Nature (London) 352, 612 (1991).
4. G. B. Ermentrout, S. P. Hastings, and W. C. Troy, SIAM J. Comput. 44, 1133 (1984).
5. K. L. Lee, W. D. McCormick, Q. Ouyang, and H. L. Swinney, Science 261, 192 (1993).
6. A. Hagberg and E. Meron, Phys. Rev. E 48, 705 (1993).
7. B. N. Vasiev, A. V. Panfilov, and R. N. Khramov, Phys. Lett. A 192, 227 (1994).
8. M. Bode and H. G. Purwins, Physica D 86, 53 (1995).
9. C. B. Muratov and V. V. Osipov, Phys. Rev. E 54, 4860 (1996).
10. A. Hagberg, E. Meron, and T. Passot, Phys. Rev. E 61, 6471 (2000).
11. R. J. Deissler, J. Stat. Phys. 40, 371 (1985).
12. R. J. Deissler, J. Stat. Phys. 54, 1459 (1989).
13. S. P. Kuznetsov, E. Mosekilde, G. Dewel, and P. Borckmans, J. Chem. Phys. 106, 7609 (1997).
14. P. Andrésen, M. Bache, E. Mosekilde, G. Dewel, and P. Borckmanns, Phys. Rev. E 60, 297 (1999).
15. M. Kærn and M. Menzinger, Phys. Rev. E 60, 3471 (1999).
16. J. R. Bamforth, J. H. Merkin, S. K. Scott, R. Toth, and V. Caspar, Phys. Chem. Chem. Phys. 3, 1435 (2001).
17. J. R. Bamforth, S. Kalliadasis, J. H. Merkin, and S. K. Scott, Phys. Chem. Chem. Phys. 2, 4013 (2000).
18. R. Satnoianu and M. Menzinger, Phys. Rev. E 62, 113 (2000).
19. C. R. Doering and W. Horsthemke, Phys. Lett. A 182, 227 (1993).
20. M. A. Allen, J. Brindley, J. H. Merkin, and M. J. Pilling, Phys. Rev. E 54, 2140 (1996).
21. V. N. Biktashev, A. V. Holden, M. A. Tsyganov, J. Brindley, and N. A. Hill, Phys. Rev. Lett. 81, 2815 (1998).
22. V. N. Biktashev, I. V. Biktasheva, A. V. Holden, M. A. Tsyganov, J. Brindley, and N. A. Hill, Phys. Rev. E 60, 1897 (1999).
23. A. B. Rovinsky, A. M. Zhabotinsky, and I. R. Epstein, Phys. Rev. E 58, 5541 (1998).
24. M. Diewald, K. Matthiessen, S. C. Muller, and H. R. Brand, Phys. Rev. Lett. 77, 4466 (1996).
25. B. Legawiec and A. L. Kawczynski, J. Phys. Chem. 101, 8063 (1997).
26. K. A. Cliffe, S. J. Tavener, and H. Wilke, Phys. Fluids 10, 730 (1998).
27. V. Ferez-Villar, A. P. Munuzuri, and V. Perez-Munuzuri, Phys. Rev. E 61, 3771 (2000).
28. M. Kærn and M. Menzinger, Phys. Rev. E 61, 3334 (2000).
29. M. Kærn, M. Menzinger, and A. Hunding, Biophys. Chem. 87, 121 (2000).
30. A. S. Mikhailov, Foundations of Synergetics 1 (Springer-Verlag, New York, 1990).
31. S. Kádár, J. Wang, and K. Showalter, Nature (London) 391, 770 (1998).
32. J. M. Chomaz, Phys. Rev. Lett. 69, 1931 (1992).
33. M. Kærn and M. Menzinger, J. Phys. Chem. A (to be published).
34. J.R. Bamforth, R. Tóth, V. Cáspár, and S. K. Scott, Phys. Chem. Chem. Phys. (to be published).
35. M. Kærn (unpublished).