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Diffusion-Induced Chaos in Reaction Systems
Open accessAbstract
A turbulent state in a distributed chemical reaction system is studied theoretically. The chaotic behavior here is basically due to the unstable growth of a spatial inhomogeneity taking place in an oscillating medium. It is argued that phase turbulence and amplitude turbulence have to be discriminated from each other according to their distinct origins. Two prototype equations describing respective types of turbulence are derived by means of some asymptotic methods, and their solutions turn out toe exhibit successive bifurcations. It is found that the phase turbulence arises essentially from the interaction among a few unstable phase modes, while the amplitude turbulence may well appear in the presence of only one unstable mode with is a mixed mode of the phase and amplitude. In particular, some similarity of the amplitude turbulence to the Lorenz chaos is pointed out. Throughout the present paper, the chaotic behavior is discucssed in connection with spatial pattern, so that no discrete approximations, such as a box-model or mode-truncation, are employed.
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Cited by
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Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
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Chu, J. H., Du, J.-B., & I, L. (1994) · Journal of Physics D: Applied Physics · doi:10.1088/0022-3727/27/2/018 · Cited by 331
Metadata
- Authors
- Kuramoto, Y.
- Venue
- Progress of Theoretical Physics Supplement
- Publisher
- Oxford University Press (OUP)
- Published
- 1978
- Volume
- 64
- Pages
- 346-367
- ISSN
- 0375-9687 (ISSN-L)
- OpenAlex
- W2049967935
- Cited by
- 610
- References
- 0
- FWCI
- 9.90
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Kuramoto, Y. (1978). Diffusion-Induced Chaos in Reaction Systems. Progress of Theoretical Physics Supplement. https://doi.org/10.1143/ptps.64.346
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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