Segmented waves from a spatiotemporal transverse wave instability

Physical Review Letters

Volumn 95, Issue 3, 2005, Pages

  Yang, Lingfa ^a   Berenstein, Igal ^a   Epstein, Irving R ^a  

^a BRANDEIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL SYMMETRY; DIFFUSION; INORGANIC ACIDS; OPTICAL WAVEGUIDES; WAVE PROPAGATION;

CODIMENSION-2 HOPF-TURING BIFURCATION; SEGMENTED WAVES; SPATIOTEMPORAL TRANSVERSE WAVE; WAVE-BREAKING PROCESS;

CHLORINE COMPOUNDS;

EID: 27144440800     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.038303     Document Type: Article

References (32)

1. M. Markus, G. Kloss, and I. Kusch, Nature (London) NATUAS 0028-0836 371, 402 (1994). 10.1038/371402a0
2. Q. Ouyang and J.-M. Flesselles, Nature (London) NATUAS 0028-0836 379, 143 (1996). 10.1038/379143a0
3. A.T. Winfree, Science SCIEAS 0036-8075 266, 1003 (1994);
4. A.V. Panfilov and P. Hogeweg, Science SCIEAS 0036-8075 270, 1223 (1995).
5. Y. Kuramoto, Prog. Theor. Phys. PTPKAV 0033-068X 63, 1885 (1980).
6. A.F.M. Mare and A.V. Panfilov, Phys. Rev. Lett. 78, 1819 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.1819
7. A Hagberg and E. Meron, Phys. Rev. Lett. 72, 2494 (1994); PRLTAO 0031-9007 10.1103/PhysRevLett.72.2494
8. A Hagberg E. Meron Phys. Rev. E 57, 299 (1998); PLEEE8 1063-651X 10.1103/PhysRevE.57.299
9. E. Meron, Catal Today CATTEA 0920-5861 70, 331 (2001). 10.1016/S0920-5861(01)00341-8
10. V.K. Vanag and I.R. Epstein, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 100, 14635 (2003). 10.1073/pnas.2534816100
11. K.J. Lee, W.D. McCormick, Q. Ouyang, and H.L. Swinney, Science SCIEAS 0036-8075 261, 192 (1993);
12. K.J. Lee and H.L. Swinney, Phys. Rev. E 51, 1899 (1995). PLEEE8 1063-651X 10.1103/PhysRevE.51.1899
13. D. Horváth, V. Petrov, S.K. Scott, and K. Showalter, J. Chem. Phys. 98, 6332 (1993). JCPSA6 0021-9606 10.1063/1.465062
14. É. Jakab, D. Horváth, and A. Tóth, Phys. Chem. Chem. Phys. 4, 1307 (2002); PPCPFQ 1463-9076 10.1039/b109263d
15. Z. Virányi, A. Szommer, A. Tóth, and D. Horváth, Phys. Chem. Chem. Phys. 6, 3396 (2004). PPCPFQ 1463-9076 10.1039/b402382j
16. M. Fuentes, M.N. Kuperman, and P. De Kepper, J. Phys. Chem. A 105, 6769 (2001). JPCAFH 1089-5639 10.1021/jp0037192
17. A.M. Turing, Phil. Trans. R. Soc. B PTRBAE 0962-8436 237, 37 (1952).
18. V. Castets, E. Dulos, J. Boissonade, and P. De Kepper, Phys. Rev. Lett. 64, 2953 (1990); PRLTAO 0031-9007 10.1103/PhysRevLett.64.2953
19. Q. Ouyang and H.L. Swinney, Nature (London) NATUAS 0028-0836 352, 610 (1991). 10.1038/352610a0
20. B. Rudovics, E. Dulos, and P. De Kepper, Phys. Scr. PHSTBO 0031-8949 T67, 43 (1996);
21. J. Boissonade, E. Dulos, and P. De Kepper, in Chemical Waves and Patterns, edited by, R. Kapral, and, K. Showalter, (Kluwer, Dordrecht, 1995), p. 221.
22. J.-J. Perraud, Phys. Rev. Lett. 71, 1272 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.1272
23. I. Berenstein, M. Dolnik, L. Yang, A.M. Zhabotinsky, and I.R. Epstein, Phys. Rev. E 70, 046219 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.70.046219
24. I. Lengyel and I.R. Epstein, Science SCIEAS 0036-8075 251, 650 (1991).
25. B. Rudovics, J. Phys. Chem. A 103, 1790 (1999). JPCAFH 1089-5639 10.1021/jp983210v
26. I. Prigogine and R. Lefever, J. Chem. Phys. 48, 1695 (1968). JCPSA6 0021-9606 10.1063/1.1668896
27. P. Hartman, Ordinary Differential Equations (Wiley, New York, 1964), p. 60.
28. M. Or-Guil and M. Bode, Physica A (Amsterdam) 249, 174 (1998). PHYADX 0378-4371 10.1016/S0378-4371(97)00459-7
29. C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. E 51, 3052 (1995); PLEEE8 1063-651X 10.1103/PhysRevE.51.3052
30. A. Hagberg, Phys. Rev. E 55, 4450 (1997). PLEEE8 1063-651X 10.1103/PhysRevE.55.4450
31. V.K. Vanag and I.R. Epstein, Phys. Rev. Lett. 90, 098301 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.098301
32. Movies of these dynamic patterns are available at http://hopf.chem. Brandeis.edu/yanglingfa/pattern/seg/index.html.