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Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction
Abstract
The chemical mechanism of Field, Körös, and Noyes for the oscillatory Belousov reaction has been generalized by a model composed of five steps involving three independent chemical intermediates. The behavior of the resulting differential equations has been examined numerically, and it has been shown that the system traces a stable closed trajectory in three dimensional phase space. The same trajectory is attained from other phase points and even from the point corresponding to steady state solution of the differential equations. The model appears to exhibit limit cycle behavior. By stiffly coupling the concentrations of two of the intermediates, the limit cycle model can be simplified to a system described by two independent variables; this coupled system is amenable to analysis by theoretical techniques already developed for such systems.
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Cites
The chemical basis of morphogenesis
Turing, A. M. (1952) · Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences · doi:10.1098/rstb.1952.0012 · Cited by 11,733
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Slime Mold Solves Maze in One Pass, Assisted by Gradient of Chemo-Attractants
Adamatzky, A. (2012) · IEEE Transactions on NanoBioscience · doi:10.1109/tnb.2011.2181978 · Cited by 111
Modeling temperature compensation in chemical and biological oscillators
Ruoff, P., Rensing, L., Kommedal, R., & Mohsenzadeh, S. (1997) · Chronobiology International · doi:10.3109/07420529709001471 · Cited by 72
A new buffering theory of social support and psychological stress
Bekiros, S., Jahanshahi, H., & Munoz-Pacheco, J. M. (2022) · PLOS ONE · doi:10.1371/journal.pone.0275364 · Cited by 54
What is special about autocatalysis?
Schuster, P. (2019) · Monatshefte für Chemie - Chemical Monthly · doi:10.1007/s00706-019-02437-z · Cited by 50
Metadata
- Authors
- Field, R. J., & Noyes, R. M.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1974-03-01
- Volume
- 60
- Issue
- 5
- Pages
- 1877-1884
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2092589298
- Cited by
- 1,287
- References
- 1
- FWCI
- 47.49
- Type
- journal article
- Language
- en
- Open access
- closed
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- Field, R. J., & Noyes, R. M. (1974). Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction. The Journal of Chemical Physics. https://doi.org/10.1063/1.1681288
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
