Instability and pattern formation in reaction-diffusion systems: a higher order analysis.
Instability and pattern formation in reaction-diffusion systems: a higher order analysis.
复制标题
反应扩散系统中的不稳定性和模式形成：高阶分析。
作者：
Syed Shahed Riaz;Rahul Sharma;S. Bhattacharyya;D. Ray
我们分析了超出通常线性区域的反应扩散系统的不稳定性和斑图形成的条件。该方法是基于考虑高阶扰动的基础上的。我们的分析表明，系统中存在的非线性可以帮助确定系统的稳定性，甚至在线性稳定的参数区域内破坏系统的稳定。该分析还成功地解释了观察到的加性噪声对系统不稳定阈值的影响。通过对一个标准反应扩散系统的数值模拟，验证了分析研究的正确性。
We analyze the condition for instability and pattern formation in reaction-diffusion systems beyond the usual linear regime. The approach is based on taking into account perturbations of higher orders. Our analysis reveals that nonlinearity present in the system can be instrumental in determining the stability of a system, even to the extent of destabilizing one in a linearly stable parameter regime. The analysis is also successful to account for the observed effect of additive noise in modifying the instability threshold of a system. The analytical study is corroborated by numerical simulation in a standard reaction-diffusion system.
DOI：
10.1073/pnas.96.10.5549
发表时间：
1999-05-11
影响因子：
11.1
作者：
Painter, KJ;Maini, PK;Othmer, HG
通讯作者：
Othmer, HG