On a model for the temporal oscillations in the Belousov‐Zhabotinsky reaction

作者: J. D. Murray

DOI: 10.1063/1.1682542

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摘要: The detailed chemical mechanism for the temporal oscillations in Belousov‐Zhabotinsky reaction, which was suggested by Field, Koros, and Noyes [J. Am. Chem. Soc. 94, 8649 (1972)], has been reconsidered Field Phys. 60, 1877(1974)], who suggest a simplified five step scheme to explain behavior that is observed. Their reaction equations are discussed here, method finding bounds closed stable trajectories phase space of dimensionless concentrations HBrO2, Br−, Ce(IV) given. Simple obtained compared with numerical solution found Noyes. existence such proves globally large enough disturbances from steady state provide necessary conditions bounded oscillations.

参考文章(4)
Richard J. Field, Endre Koros, Richard M. Noyes, Oscillations in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system Journal of the American Chemical Society. ,vol. 94, pp. 8649- 8664 ,(1972) , 10.1021/JA00780A001
N. Kopell, L. N. Howard, Horizontal Bands in the Belousov Reaction Science. ,vol. 180, pp. 1171- 1173 ,(1973) , 10.1126/SCIENCE.180.4091.1171
Richard J. Field, Richard M. Noyes, Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction The Journal of Chemical Physics. ,vol. 60, pp. 1877- 1884 ,(1974) , 10.1063/1.1681288