Controlling Belousov-Zhabotinsky-continuous stirred tank reactor chaotic chemical reaction by discrete and continuous control strategies

Physical Chemistry Chemical Physics

Volumn 1, Issue 5, 1999, Pages 813-819

  Song, Hao ^a   Li, Yan Ni ^a   Chen, Lan ^a   Cai, Zun Sheng ^a   Li, Yong Jun ^a   Hou, Zhe ^a   Zhao, Xue Zhuang ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHAOTIC DYNAMICS; CHEMICAL REACTION; FEEDBACK SYSTEM; REACTION ANALYSIS; REACTOR; STEADY STATE;

EID: 0033106049     PISSN: 14639076     EISSN: None     Source Type: Journal    
DOI: 10.1039/a807866a     Document Type: Article

References (62)

1. 1 Chaos in Chemistry and Biochemistry, ed. Richard J. Field, Laselo Gyorgyi, World Scientific, Singapore, 1993.
2. 2 Chemical Chaos, ed. S. K Scott, Oxford University Press, Oxford, 1993.
3. 3 Oscillations, Waves, Chaos in Chemical Kinetics, ed. S. K. Scott, Oxford University Press, 1994.
4. 4 Irving R. Epstein and Kenneth Showalter, J. Phys. Chem., 1996, 100, 13132.
5. 5 John L. Hudson and T. T. Tsotsis, Chem. Eng. Sci., 1994, 49, 1493.
6. 6 Marc T. M. Koper, Advances in Chemical Physics, Vol. XCII, ed. I. Prigogine and Stuart A. Rice, John Wiley & Sons Inc, New York, 1996.
7. 7 R. Imbihl and G. Ertl, Chem. Rev., 1995, 95, 697.
8. 8 Biochemical Oscillations and Cellular Rhythms: the Molecular Bases of Periodic and Chaotic Behavior, ed. A. Goldbeter, Cambridge University Press, Cambridge, 1996.
9. 9 A. Scheeline, D. L. Olson, E. P. Williksen, G. Horras, M. L. Klein and R. Larter, Chem. Rev., 1997, 97, 739.
10. 10 S. J. Schiff, K. Jerger, D. H. Duong, T. Chang, M. L. Spano and W. L. Ditto, Nature (London), 1994, 370, 615.
11. 11 A. T. Winfree, Science, 1994, 266, 1003.
12. 12 M. F. Doherty and J. M. Ottino, Chem. Eng. Sci., 1988, 43, 139.
13. 13 The Kinematics of Mixing, Stretching, Chaos and Transport, ed. J. M. Ottino, Cambridge University Press, Cambridge, 1989.
14. 14 Chua Circuit: A Paradigm for Chaos, ed. R. N. Madan, World Scientific, Singapore, 1993.
15. 15 R. A. Mashelkar, Chem. Eng. Sci., 1995, 51, 1.
16. 16 T. Shinbrot, Nonlinear Science Today, 1993, 3, 1.
17. 17 T. Shinbrot, C. Grebogi and J. A. Yorke, Nature (London), 1993, 363, 411.
18. 18 T. Shinbrot, Adv. Phys., 1995, 44, 73.
19. 19 Edward Ott, Celso Grebogi and James A. Yorke, Phys. Rev. Lett., 1990, 4, 1196.
20. 20 Bo Peng, Valery Petrov and Kenneth Showalter, J. Phys. Chem., 1991, 95, 4957.
21. 21 Valery Petrov, Bo Peng and Kenneth Showalter, J. Chem. Phys., 1992, 96, 7506.
22. 22 K. Pyragas, Phys. Lett. A, 1992, 170, 421.
23. 23 A. Kittel, J. Parisi and K. Pyragas, Phys. Lett. A, 1995, 198, 433.
24. 24 D. Lebender, J. Muller and F. W. Schneider, J. Phys. Chem., 1995, 99, 4992.
25. 25 B. B. Plapp and A. W. Hubler, Phys. Rev. Lett., 1990, 65, 2302.
26. 26 R. Lima and M. Pettin, Phys. Rev. A, 1990, 41, 726.
27. 27 A. Ajbar and S. S. E. H. Elnashaie, AIChE. J., 1996, 42, 3008.
28. 28 S. Fahy and D. R. Hamann, Phys. Rev. Lett., 1992, 69, 761.
29. 29 Amos Maritan and Jayanth R. Banavar, Phys. Rev. Lett., 1994, 72, 1451.
30. 30 F. Qin, E. E. Wolf and H-C. Chang, Phys. Rev. Lett., 1994, 72, 1459.
31. 31 Valery Petrov and Vilmos Gaspar, Jonatham Naseve and Kenneth Showalter, Nature (London), 1993, 361, 240.
32. 32 F. W. Schneider, R. Blittersdorf, A. Forster, T. Hauck, D. Lebender and J. Muller, J. Phys. Chem., 1993, 97, 12244.
33. 33 L. Lekebusch, A. Forster and F. W. Schneider, J. Phys. Chem., 1995, 99, 681.
34. 34 P. Parmananda, M. A. Rhode, G. A. Johnson, R. W. Rollins, H. D. Dewald and A. J. Markworth, Phys. Rev. E, 1994, 49, 5007.
35. 35 P. Parmananda, P. Sherard, R. W. Rollins and H. D. Dewald, Phys. Rev. E, 1993, 47, R3003.
36. 36 I. Z. Kiss, V. Gaspar, L. Nyikos and P. Parmananda, J. Phys. Chem. A, 1997, 101, 8668.
37. 37 Chien-Chong Chen, Chong-Hung Tsai and Chun-Chong Fu, Phys. Lett. A, 1994, 194, 265.
38. 38 Chien-Chong Chen, Chun-Chong Fu and Chong-Hung Tsai, Chem. Eng. Sci., 1996, 23, 5159.
39. 39 Hao Song, Zun-Sheng Cai and Xue-Zhuang Zhao, Chin. Sci., submitted.
40. 40 Bo Peng, S. K. Scott and K. Showalter, J. Phys. Chem., 1990, 94, 5243.
41. 41 S. K. Scott, Bo Peng and K. Showalter, J. Chem. Phys., 1991, 94, 1134.
42. 42 V. Petrov, S. K. Scott and K. Showalter, J. Chem. Phys., 1992, 97, 6191.
43. 43 Laszlo Gyorgyi and Richard J. Field, J. Phys. Chem., 1991, 95, 6594.
44. 44 Numerical initial value problems in ordinary differential equations, ed. C. W. Gear, Prentice-Hall, Englewood Cliff, NJ, 1971.
45. 45 R. Blittersdorf, A. F. Munster and F. W. Schneider, J. Phys. Chem., 1992, 96, 5893.
46. 46 D. E. Rumelhart, G. E. Hinton and R. J. Williams, Nature (London), 1986, 323, 533.
47. 47 R. G. Coffman, W. D. McCormick, Z. Noszticzius, R. H. Simoyi and H. L. Swinney, J. Chem. Phys., 1987, 86, 119.
48. 48 Hao Song, Yan-Ni Li, Zun-Sheng Cai and Xue-Zhuang Zhao, Chin. J. Chem., in the press.
49. 49 L. Gyorgyi and R. J. Field, Nature (London), 1992, 355, 808.
50. 50 F. Argoul, A. Arneodo and P. Richetti, Phy. Lett. A, 1987, 120, 269.
51. 51 M. R. Bassett and J. L. Hudson, J. Phys. Chem., 1988, 92, 6963.
52. 53 Marcus J. B. Hauser and L. F. Olsen, J. Chem. Soc., Faraday Trans., 1996, 92, 2857.
53. 54 C. J. Doona, R. Blittersdorf and F. W. Schneider, J. Phys. Chem., 1993, 97, 7258.
54. 55 K. Krischer, M. Lubke, W. Wolf, M. Eiswirth and G. Ertl, Ber. Bunsen-Ges. Phys. Chem., 1991, 95, 820.
55. 56 F. Argoul, A. Arneodo, P. Richetti and J. C. Roux, J. Chem. Phys., 1987, 86, 3325.
56. 57 P. Richetti, J. C. Roux, F. Argoul and A. Arneodo, J. Chem. Phys., 1987, 86, 3339.
57. 58 D. Barkley, J. Chem. Phys., 1988, 89, 5547.
58. 59 G. Baier, K. Wegmann and J. L. Hudson, Phys. Lett. A, 1989, 141, 340.
59. 60 Hao Song, Yan-Ni Li, Zhun-Sheng Cai and Xue-Zhuang Zhao, in preparation.
60. 61 H. Killory, O. E. Rossler and J. L. Hudson, Phys. Lett. A., 1987, 122, 341.
61. 62 G. Baier and S. Sahle, J. Chem. Phys., 1994, 100, 8907.
62. 63 P. Strasser, O. E. Rossler and G. Baier, J. Chem. Phys., 1996, 104, 9974.