Spatio-temporal behaviors of a clock reaction in an open gel reactor

Chaos

Volumn 16, Issue 3, 2006, Pages

  Benyaich, Khalid ^a   Erneux, Thomas ^a   Métens, Stéphane ^b   Villain, Sébastien ^a,b   Borckmans, Pierre ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749367420     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2219703     Document Type: Article

References (33)

1. P. Blanchedeau, J. Boissonade, and P. De Kepper, Physica D 147, 283 (2000).
2. P. Borckmans, G. Dewel, A. De Wit, E. Dulos, J. Boissonade, F. Gauffre, and P. De Kepper, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 2307 (2002).
3. J. Boissonade, P. De Kepper, F. Gauffre, and I. Szalai, Chaos 3, 037110 (2006) (this issue).
4. J. Boissonade, E. Dulos, F. Gauffre, M. N. Kuperman, and P. De Kepper, Faraday Discuss. 120, 253 (2001).
5. M. Fuentes, M. N. Kuperman, J. Boissonade, E. Dulos, F. Gauffre, and P. Kepper, Phys. Rev. E 66, 056205 (2002).
6. I. R. Epstein and J. A. Pojman, An Introduction to Nonlinear Chemical Dynamics (Oxford University Press, Oxford, 1998).
7. V. Castets, E. Dulos, J. Boissonade, and P. De Kepper, Phys. Rev. Lett. 64, 2953 (1990).
8. Q. Ouyang and H. Swinney, Nature (London) 352, 610 (1991).
9. B. Rudovics, E. Barillot, P. W. Davies, E. Dulos, J. Boissonade, and P. De Kepper, J. Phys. Chem. A 103, 1790 (1999).
10. K. J. Lee, W. D. McCormick, Q. Ouyang, and H. L. Swinney, Science 261, 192 (1993).
11. K. Benyaich, Ph.D. thesis, Université Libre de Bruxelles (2005).
12. P. B. Weisz and J. S. Hicks, Chem. Eng. Sci. 17, 265 (1962).
13. R. Aris, Chem. Eng. Sci. 24, 149 (1969).
14. D. Luss in Spatial Inhomogeneities and Transient Behaviour in Chemical Kinetics, edited by P. Gray, G. Nicolis, F. Baras, P. Borckmans, S. Scott (Manchester University Press, Manchester, 1989), p. 103, and references therein.
15. J. Shi, Ph.D. thesis, Brigham Young University (2003).
16. P. Gray and S. Scott, Chemical Oscillations and Instabilities (Oxford University Press, Oxford, 1990).
17. R. Lefever, M. Herschkowitz-Kaufman, and J. W. Turner, Phys. Lett. 60A, 389 (1977).
18. A. Saul and K. Showalter in Oscillating and Traveling Waves in Chemical Systems, edited by R. J. Field and M. Burger (Wiley, New York, 1985), p. 419.
19. D. Horvath, V. Petrov, S. K. Scott, and K. Showalter, J. Chem. Phys. 98, 6332 (1993).
20. D. Horvath and K. Showalter, J. Chem. Phys. 102, 2471 (1995).
21. N. Ganapathisubramanian and K. Showalter, J. Chem. Phys. 84, 5427 (1983).
22. G. Dewel, P. Borckmans, and D. Walgraef, J. Phys. Chem. 88, 5442 (1984).
23. M. Golubitsky and D. G. Shaeffer, Singularites and Groups in Bifurcations Theory (Springer Verlag, Berlin, 1985).
24. J. Boissonade and P. De Kepper, J. Phys. Chem. 84, 501 (1980).
25. J. P. Keener, Chem. Phys. 18, 126 (1981).
26. J. P. Keener, SIAM J. Appl. Math. 41, 127 (1981).
27. M. Baer and T. Erneux, SIAM J. Appl. Math. 46, 721 (1986);
28. M. Baer and T. Erneux, SIAM J. Appl. Math. 52, 1651 (1992).
29. P. A. Braza and T. Erneux, Phys. Rev. A 40, 2539 (1989).
30. A. De Wit, P. De Kepper, K. Benyaich, G. Dewel, and P. Borckmans, Chem. Eng. Sci. 58, 4823 (2003).
31. S. Villain, S. Métens, and P. Borckmans, J. Mech. Behav. Mater. (to be published).
32. J. Boissonade, Phys. Rev. Lett. 90, 188302 (2003);
33. Chaos 15, 023703 (2005).