Canard explosion and coherent biresonance in the rate oscillation of CO oxidation on platinum surface

Journal of Physical Chemistry A

Volumn 109, Issue 38, 2005, Pages 8515-8519

  Zhao, Gang ^a   Hou, Zhonghuai ^a   Xin, Houwen ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL ANALYSIS; OXIDATION; PLATINUM; SIGNAL TO NOISE RATIO;

CANARD EXPLOSION; HOPF BIFURCATION; NOISE INTENSITY; SNR;

CARBON MONOXIDE;

CARBON MONOXIDE; PLATINUM;

ARTICLE; CHEMICAL MODEL; CHEMISTRY; OSCILLOMETRY; OXIDATION REDUCTION REACTION; SURFACE PROPERTY;

CARBON MONOXIDE; MODELS, CHEMICAL; OSCILLOMETRY; OXIDATION-REDUCTION; PLATINUM; SURFACE PROPERTIES;

EID: 26844509924     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp050907p     Document Type: Article

References (44)

1. Benoit, E.; Callot, J. L.; Diener, F.; Diener, M. Collect. Math. 1981, 32, 37.
2. Diener, M. Math. Intell. 1984, 6, 38.
3. Bar-Eli, K.; Brøns, M. J. Phys. Chem. 1990, 94, 7170.
4. Brøns, M.; Bar-Eli, K. J. Phys. Chem. 1991, 95, 8706.
5. Milik, A.; Szmolyan, P.; LÖffelmann, H.; GrÖller, E. Int. J. Bifurcation Chaos Appl. Sci. Eng. 1998, 8, 505.
6. Brøns, M.; Sturis, J. Phys. Rev. E 2001, 64, 026209.
7. Moehlis, J. J. Nonlinear Sci. 2002, 12, 319.
8. Chumakov, G. A.; Chumakova, N. A. Chem. Eng. J. 2003, 91, 151.
9. Kakiuchi, N.; Tchizawa, K. J. Diff. Eq. 1997, 141, 327.
10. Guckenheimer, J.; Hoffman, K.; Weckesser, W. Int. J. Bifurcation Chaos Appl. Sci. Eng. 2000, 10, 2669.
11. Grasman, J. Asymptotic Methods for Relaxation Oscillations and Applications; Springer-Verlag: New York, 1987.
12. Mishchenko, E. F.; Kolesov, Yu. S.; Kolesov, A. Yu.; Rozov, N. Kh. Asymptotic methods in singularly perturbed systems; Consultants Bureau: New York and London, 1994.
13. Krupa, M.; Szmolyan, P. J. Diff. Eq. 2001, 174, 312.
14. Buchholtz, F.; Dolnik, M.; Epstein, I. R. J. Phys. Chem. 1995, 99, 15093.
15. Deng, B. Chaos 2004, 14, 1083.
16. Krischer, K.; Eiswirth, M.; Ertl, G. J. Chem. Phys. 1992, 96, 9161.
17. Proceedings of the 16th International Conference on Noise in Physical Systems and 1/f Fluctuations; Bosman, G., Ed.; World Scientific: Singapore, 2001.
18. Gammaitoni, L.; Hanggi, P.; Jung, P.; Marchesoni, F. Rev. Mod. Phys. 1998, 70, 223.
19. Hanggi, P. ChemPhysChem. 2002, 3, 285.
20. Lindner, B.; Garcia-Ojalvo, J.; Neiman, A.; Schimansky-Geier, L. Phys. Rep. 2004, 392, 321.
21. Kiss, I. Z.; Hudson, J. L.; Santos, G. J. E.; Parmananda, P. Phys. Rev. E 2003, 67, 035201.
22. Hu, G.; Ditzinger, T.; Ning, C. Z.; Haken, H. Phys. Rev. Lett. 1993, 71, 807.
23. Lin, I.; Liu, J. M. Phys. Rev. Lett. 1995, 74, 3161.
24. Santos, G. J. E.; Rivera, M.; Eiswirth, M.; Parmananda, P. Phys. Rev. E 2004, 70, 021103.
25. Miyakawa, K.; Isikawa, H. Phys. Rev. E 2002, 66, 046204.
26. van Kapman, N. G. Stochastic Processes In Physics and Chemistry; North-Holland: Amsterdam, 1987.
27. Hildebrand, M.; Mikhailow, A. S.; Erlt, G. Phys. Rev. E 1998, 58, 5483.
28. Shuai, J. W.; Jung, P. Phys. Rev. Lett. 2002, 88, 068102.
29. Schmid, G.; Goychuk, I.; Haggi, P. arXiv.org; http://arxiv.org/abs/ physics/0106036.
30. Suchorski, Y.; Beben, J.; James, E. W.; Evans, J. W.; Imbihl, R. Phys. Rev. Lett. 1999, 82, 1907.
31. Hildebrand, M.; Mikhailov, A. S.; Ertl, G. Phys. Rev. Lett. 1998, 81, 2602.
32. Zhang, J.; Hou, Z.; Xin, H. ChemPhysChem. 2004, 5, 1041.
33. Gong, Y.; Hou, Z.; Xin, H. J. Phys. Chem B 2004, 108, 17796.
34. Hou, Z.; Xin, H. J. Chem. Phys. 2003, 119, 11508.
35. Hou, Z.; Xin, H. ChemPhysChem. 2004, 3, 407.
36. Thomas, J. M.; Thomas, W. J. Principles and Practice of Heterogeneous Catalysis; VCH: Weinheim, 1997.
37. Nicolis, G.; Prigogine, I. Self-Organization in Nonequilibrium Systems; Wiley: New York, 1977.
38. Imbihl, R.; Ertl, G. Chem. Rev. 1995, 95, 697.
39. Lebiedz, D.; Brandt-Pullmann, U. Phys. Rev. E 2004, 70, 051609.
40. Graham, M. D.; Kevrekidis, I. G.; Asakura, K. Science 1994, 264, 80.
41. Zhdanov, V. P. Surf. Sci. Rep. 2004, 55, 1 and references therein.
42. Hou, Z.; Yang, L.; Xin, H. J. Chem. Phys. 1999, 111, 1592.
43. http://allserv.rug.ac.be/~ajdhooge/research.html.
44. Dilão, R.; Volford, A. Dis. & Con. Dyn. Sys. B 2004, 4, 419.