QUASI-STEADY STATE AND NEARLY INVARIANT SETS
QUASI-STEADY STATE AND NEARLY INVARIANT SETS
复制标题
DOI：
10.1137/090758180
复制
发表时间：
2009-01-01
影响因子：
1.9
通讯作者：
Walcher, Sebastian
中科院分区：
文献类型：
--
作者：
Noethen, Lena;Walcher, Sebastian
为了给描述化学反应体系的方程中准稳态(QSS)的概念赋予明确的数学意义，我们提出了常微分方程近不变集的概念。我们表明，从预期的应用来看，这种方法是合理的。此外，该方法还导致了寻找满足QSS假设的“小参数”的启发式方法。通过几个实例说明了结果的正确性。
We propose the notion of nearly invariant set for an ordinary differential equation to give a clear mathematical meaning to the notion of quasi-steady state (QSS) in equations describing chemically reacting systems. We show that this approach is sensible in view of the intended applications. Moreover, the approach leads to a heuristic for finding "small parameters" to satisfy a QSS assumption. The results are illustrated by several examples.