Target-wave to spiral-wave pattern transition in a discrete Belousov-Zhabotinsky reaction driven by inactive resin beads

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

Volumn 82, Issue 4, 2010, Pages

  Wang, Guanqun ^a   Wang, Qingsheng ^b   He, Peng ^a   Pullela, Srinivasa ^a   Marquez, Manuel ^c,d   Cheng, Zhengdong ^a  

^a Texas AandM University   (United States)

^b OKLAHOMA STATE UNIVERSITY   (United States)

^c YNano LLC   (United States)

^d UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BELOUSOV-ZHABOTINSKY REACTIONS; BIFURCATION PARAMETER; BIOCHEMICAL REACTIONS; DISCRETE SYSTEMS; PATTERN TRANSITIONS; PROPAGATION SPEED; RESIN BEADS; SPIRAL PAIRS; SPIRAL WAVES; SYSTEM PROPERTY; TARGET WAVES; WAVE FREQUENCIES; WAVE PATTERNS;

ION EXCHANGE; POSITIVE IONS;

RESINS;

EID: 78651308972     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.045201     Document Type: Article

References (28)

1. J. M. Davidenko, A. V. Pertsov, R. Salomonsz, Nature (London) 355, 349 (1992). 10.1038/355349a0
2. N. A. Gorelova and J. Bures, J. Neurobiol. 14, 353 (1983). 10.1002/neu.480140503
3. J. Lechleiter, S. Girard, E. Peralta, Science 252, 123 (1991). 10.1126/science.2011747
4. F. Sagues, J. M. Sancho, and J. Garcia-Ojalvo, Rev. Mod. Phys. 79, 829 (2007). 10.1103/RevModPhys.79.829
5. A. S. Mikhailov and K. Showalter, Phys. Rep. 425, 79 (2006). 10.1016/j.physrep.2005.11.003
6. F. Sagues and I. R. Epstein, Dalton Trans. 2003, 1201. 10.1039/b210932h
7. G. Bub, A. Shrier, and L. Glass, Phys. Rev. Lett. 94, 028105 (2005). 10.1103/PhysRevLett.94.028105
8. M. Assenheimer and V. Steinberg, Nature (London) 367, 345 (1994). 10.1038/367345a0
9. A. F. Taylor, M. R. Tinsley, F. Wang, Science 323, 614 (2009). 10.1126/science.1166253
10. J. M. Greenberg and S. P. Hastings, SIAM J. Appl. Math. 34, 515 (1978). 10.1137/0134040
11. J. Maselko, J. S. Reckley, and K. Showalter, J. Phys. Chem. 93, 2774 (1989). 10.1021/j100344a016
12. K. H. W. J. ten Tusscher and A. V. Panfilov, Phys. Rev. E 68, 062902 (2003). 10.1103/PhysRevE.68.062902
13. K. H. W. J. ten Tusscher and A. V. Panfilov, Europace 9, vi38 (2007). 10.1093/europace/eum206
14. R. F. Gilmour, Drug Discovery Today 8, 162 (2003). 10.1016/S1359-6446(02) 02567-9
15. J. Maselko and K. Showalter, Nature (London) 339, 609 (1989). 10.1038/339609a0
16. J. Maselko and K. Showalter, Physica D 49, 21 (1991). 10.1016/0167-2789(91)90189-G
17. M. Ruiz-Villarreal, M. Gomez-Gesteira, C. Souto, A. P. Munuzuri, and V. Perez-Villar, Phys. Rev. E 54, 2999 (1996). 10.1103/PhysRevE.54.2999
18. F. Xie, Z. Qu, J. N. Weiss, and A. Garfinkel, Phys. Rev. E 63, 031905 (2001). 10.1103/PhysRevE.63.031905
19. B. E. Steinberg, L. Glass, A. Shrier G. Bub, Philos. Trans. R. Soc. London, Ser. A 364, 1299 (2006). 10.1098/rsta.2006.1771
20. S. Alonso, R. Kapral, and M. Bar, Phys. Rev. Lett. 102, 238302 (2009). 10.1103/PhysRevLett.102.238302
21. A. Babloyantz and J. A. Sepulchre, Physica D 49, 52 (1991). 10.1016/0167-2789(91)90193-D
22. J. A. Sepulchre and A. Babloyantz, Phys. Rev. Lett. 66, 1314 (1991). 10.1103/PhysRevLett.66.1314
23. E. Meron and P. Pelce, Phys. Rev. Lett. 60, 1880 (1988). 10.1103/PhysRevLett.60.1880
24. G. B. M. van der Deijl and A. V. Panfilov, Phys. Rev. E 78, 012901 (2008). 10.1103/PhysRevE.78.012901
25. J.-M. Flesselles, A. Belmonte, and V. Gaspar, J. Chem. Soc., Faraday Trans. 94, 851 (1998). 10.1039/a707886b
26. J. D. Dockery, J. P. Keener, and J. J. Tyson, Physica D 30, 177 (1988). 10.1016/0167-2789(88)90105-4
27. K. J. Lee, Phys. Rev. Lett. 79, 2907 (1997). 10.1103/PhysRevLett.79.2907
28. O. Steinbock, P. Kettunen, and K. Showalter, Science 269, 1857 (1995). 10.1126/science.269.5232.1857