新科学想法 › 文献管理 › 浏览文献

Stability of Turing patterns in the Brusselator model

yhhuang 添加于 2011-7-19 13:28 | 1677 次阅读 | 0 个评论

作者
Peña B, Pérez-García C
摘要
The selection and competition of Turing patterns in the Brusselator model are reviewed. The stability of stripes and hexagons towards spatial perturbations is studied using the amplitude equation formalism. For hexagonal patterns these equations include both linear and nonpotential spatial terms enabling distorted solutions. The latter modify substantially the stability diagrams and select patterns with wave numbers quite different from the critical value. The analytical results from the amplitude formalism agree with direct simulations of the model. Moreover, we show that slightly squeezed hexagons are locally stable in a full range of distortion angles. The stability regions resulting from the phase equation are similar to those obtained numerically by other authors and to those observed in experiments.
详细资料
- 文献种类:期刊
- 期刊名称: Physical Review E
- 期刊缩写: Phys. Rev. E
- 期卷页: 2001年第64卷第5期
- ISBN: 1063-651X
标签

brusselator pattern formation turing pattern
相关链接 DOI URL
附件
Stability of Turing patterns in the Brusselator model
yhhuang 的文献笔记订阅