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Complex Patterns in a Simple System
Open accessAbstract
Numerical simulations of a simple reaction-diffusion model reveal a surprising variety of irregular spatiotemporal patterns. These patterns arise in response to finite-amplitude perturbations. Some of them resemble the steady irregular patterns recently observed in thin gel reactor experiments. Others consist of spots that grow until they reach a critical size, at which time they divide in two. If in some region the spots become overcrowded, all of the spots in that region decay into the uniform background.
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Citations
Cited by
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(2011) · SpringerReference · doi:10.1007/springerreference_60229 · Cited by 870
Spatial pattern formation in chemical and biological systems
Maini, P. K., Painter, K. J., & Nguyen Phong Chau, H. (1997) · Journal of the Chemical Society, Faraday Transactions · doi:10.1039/a702602a · Cited by 334
Complexity in Natural Landform Patterns
Werner, B. T. (1999) · Science · doi:10.1126/science.284.5411.102 · Cited by 317
Mapping computational concepts to GPUs
Harris, M. (2005) · ACM SIGGRAPH 2005 Courses on - SIGGRAPH '05 · doi:10.1145/1198555.1198768 · Cited by 189
Ribó, J. M., Blanco, C., Crusats, J., El‐Hachemi, Z., Hochberg, D., & Moyano, A. (2014) · Chemistry – A European Journal · doi:10.1002/chem.201404534 · Cited by 81
Metadata
- Authors
- Pearson, J. E.
- Venue
- Science
- Published
- 1993-07-09
- Volume
- 261
- Issue
- 5118
- Pages
- 189-192
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2006640177
- Cited by
- 998
- References
- 0
- FWCI
- 27.64
- Type
- journal article
- Language
- en
- Open access
- green
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- Pearson, J. E. (1993). Complex Patterns in a Simple System. Science. https://doi.org/10.1126/science.261.5118.189
Data sources
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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.