Abstract
In this note we present analytically proved necessary conditions for the occurrence of oscillatory behaviour in an important class of closed isothermal reaction systems. The classical Lotka scheme with the uncatalyzed reaction path included and the full Autocatalator scheme are chosen as representative examples.
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References
P. Gray and S.K. Scott, Ber. Bunsenges. Phys. Chem. 90 (1986)985.
J.H. Merkin, D.J. Needham and S.K. Scott, Proc. Roy. Soc. London A406 (1986)299.
P. Gray, Proc. Roy. Soc. London A415 (1988)1.
W. Kordylewski, S.K. Scott and A.S. Tomlin, J. Chem. Soc. Faraday Trans. 86 (1990)3365.
A.J. Lotka, J. Phys. Chem. 14 (1910)271.
G. Pólya and G. Szegö,Problems and Theorems in Analysis, Vol. 2, part 5, chapter 1, problem 18 (Springer, Berlin/Heidelberg, 1976).
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Póta, G. Exact necessary conditions for oscillatory behaviour in a class of closed isothermal reaction systems. J Math Chem 9, 369–372 (1992). https://doi.org/10.1007/BF01166100
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DOI: https://doi.org/10.1007/BF01166100