Dynamical Structures in Stochastic Chemical Reaction Systems
Dynamical Structures in Stochastic Chemical Reaction Systems
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DOI：
10.1137/140957482
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发表时间：
2014-09
期刊：
影响因子：
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通讯作者：
Xiaoying Han;H. Najm
中科院分区：
文献类型：
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作者：
Xiaoying Han;H. Najm
出于对刚性随机化学系统动力学分析和模型简化的需求，我们专注于开发用于分析奇异扰动随机动力系统动力学结构的方法。我们概述了随机动力系统理论的基础上制定。我们展示了一个模型的二维随机动力系统的分析，建立在一个基础的确定性系统与定制的快-慢结构和分析已知的慢流形，采用乘法布朗运动噪声强迫。
Motivated by the need for dynamical analysis and model reduction in stiff stochastic chemical systems, we focus on the development of methodologies for analysis of the dynamical structure of singularly perturbed stochastic dynamical systems. We outline a formulation based on random dynamical system theory. We demonstrate the analysis for a model two-dimensional stochastic dynamical system built on an underlying deterministic system with a tailored fast-slow structure and an analytically known slow manifold, employing multiplicative Brownian motion noise forcing.