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Nonlinear Chemical Dynamics: Oscillations, Patterns, and Chaos
Abstract
Chemical reactions with nonlinear kinetic behavior can give rise to a remarkable set of spatiotemporal phenomena. These include periodic and chaotic changes in concentration, traveling waves of chemical reactivity, and stationary spatial (Turing) patterns. Although chemists were initially skeptical of the existence and the relevance of these phenomena, much progress has been made in the past two decades in characterizing, designing, modeling, and understanding them. Several nonlinear dynamical phenomena in chemical systems provide simpler analogues of behaviors found in biological systems.
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Cites
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The Geometry of Biological Time
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Controlling chaos in the Belousov—Zhabotinsky reaction
Petrov, V., Gáspár, V., Masere, J., & Showalter, K. (1993) · Nature · doi:10.1038/361240a0 · Cited by 408
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Moussian, B., & Roth, S. (2005) · Current Biology · doi:10.1016/j.cub.2005.10.026 · Cited by 245
Chemical and biological activity in open flows: A dynamical system approach
Tél, T., de Moura, A., Grebogi, C., & Károlyi, G. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.01.005 · Cited by 208
Vincent, L., Berg, M., Krismer, M., Saghafi, S. T., Cosby, J., Sankari, T., Vetsigian, K., Cleaves, H. J., & Baum, D. A. (2019) · Life · doi:10.3390/life9040080 · Cited by 62
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Metadata
- Authors
- Epstein, I. R., & Showalter, K.
- Venue
- The Journal of Physical Chemistry
- Publisher
- American Chemical Society (ACS)
- Published
- 1996-01-01
- Volume
- 100
- Issue
- 31
- Pages
- 13132-13147
- ISSN
- 0022-3654 (ISSN-L)
- 1541-5740
- OpenAlex
- W2033736907
- Cited by
- 542
- References
- 3
- FWCI
- 20.06
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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