Abstract
OSCILLATING chemical reactions are interesting, not only in themselves but as models of a number of important biological processes1–5. Oscillating reactions have been described in which cerium (or manganese) ions catalyse the oxidation of analogues of malonic acid by bromate6–8. Oscillations in the concentrations of oxidized and reduced forms of the catalyst cause oscillations in the solution colour, while stirring leads to forced synchronization of oscillations throughout the whole volume. In the absence of stirring, periodic propagation of concentration waves occurs in certain conditions, and such a phenomenon in a one-dimensional system (a long tube) has been described9,10. Our work deals with patterns in a thin layer of solution (two-dimensional system).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Christiansen, J. A., Adv. Enzymol., 23, 83 (1961).
Goodwin, B. C., Temporal Organisation in Cells (Academic Press, London and New York, 1963).
Bak, T. A., Contributions to the Theory of Chemical Kinetics (W. A. Benjamin, NY, 1963).
Turing, A. M., Phil. Trans. Roy. Soc., B, 237, 37 (1952).
Prigogine, J., and Nicolis, G., J. Chem. Phys., 46, 3542 (1967).
Zhabotinsky, A. M., Dokl. Akad. Nauk SSSR, 157, 392 (1964).
Degn, H., Nature, 213, 589 (1967).
Vavilin, V. A., Zhabotinsky, A. M., and Zaikin, A. N., Biochemical Oscillators (edit. by Chance, B., Hess, B., and Selkov, E.) (Academic Press, Philadelphia, in the press).
Zhabotinsky, A. M., Biochemical Oscillators (Academic Press, Philadelphia, in the press).
Zhabotinsky, A. M., Oscillatory Processes in Biological and Chemical Systems, 149 (Science Publ., Moscow, 1967).
Busse, H. G., J. Phys. Chem., 73, 750 (1969).
Conrade, M., and Reinbach, H., Chem. Ber., 35, 1814 (1902).
Wiener, N., and Rosenblueth, A., Arch. Inst. Cardiol. de Mexico, 16, 205 (1946).
Gelfand, I. M., and Zetlin, M. L., Dokl. Akad. Nauk SSSR, 131, 1248 (1960).
Krinsky, V. I., Biofizika, 11, 676 (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
ZAIKIN, A., ZHABOTINSKY, A. Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System. Nature 225, 535–537 (1970). https://doi.org/10.1038/225535b0
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1038/225535b0
- Springer Nature Limited
This article is cited by
-
Emergence of chaos in a compartmentalized catalytic reaction nanosystem
Nature Communications (2023)
-
Electrotaxis behavior of droplets composed of aqueous Belousov-Zhabotinsky solutions suspended in oil phase
Scientific Reports (2023)
-
Non-autonomous zinc–methylimidazole oscillator and the formation of layered precipitation structures in a hydrogel
Scientific Reports (2023)
-
Can large inhomogeneities generate target patterns?
Zeitschrift für angewandte Mathematik und Physik (2023)
-
Self-oscillating chemoelectrical interface of solution-gated ion-sensitive field-effect transistor based on Belousov–Zhabotinsky reaction
Scientific Reports (2022)