Transient chaos in a closed chemical system
- 15 January 1991
- journal article
- conference paper
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 94 (2) , 1134-1140
- https://doi.org/10.1063/1.460019
Abstract
Complex oscillations and even aperiodicity can exist as transient phenomena in closed chemical systems. These effects are illustrated through the analysis of a simple, isothermal chemical model based on mass action kinetics for autocatalytic feedback, involving the conversion of a reactant to a final product via three intermediate species. The use of the so-called pool chemical approximation and of pseudo-steady-state analyses for such systems is indicated and discussed, particularly with relevance to ‘‘real’’ chemical situations where small perturbations due to extraneous noise are inevitably present.Keywords
This publication has 14 references indexed in Scilit:
- Period doubling and other complex bifurcations in non-isothermal chemical systemsPhilosophical Transactions A, 1990
- Period doubling and chaos in a three-variable autocatalatorThe Journal of Physical Chemistry, 1990
- Mechanisms of some chemical oscillatorsThe Journal of Physical Chemistry, 1990
- Multiple steady states, complex oscillations, and the devil’s staircase in the peroxidase–oxidase reactionThe Journal of Chemical Physics, 1987
- A New Model for Oscillatory Behaviour in Closed Systems: The AutocatalatorBerichte der Bunsengesellschaft für physikalische Chemie, 1986
- Oscillatory chemical reactions in closed vesselsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1986
- Complex dynamical behavior in "simple" chemical systemsThe Journal of Physical Chemistry, 1984
- Oscillations in chemical systems. 18. Mechanisms of chemical oscillators: conceptual basesAccounts of Chemical Research, 1977
- Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reactionThe Journal of Chemical Physics, 1974
- Symmetry Breaking Instabilities in Dissipative Systems. IIThe Journal of Chemical Physics, 1968