Dynamical Structures in Stochastic Chemical Reaction Systems

DOI10.1137/140957482zbMath1310.34081OpenAlexW2055879862MaRDI QIDQ2940722

Habib N. Najm, Xiaoying Han

Publication date: 20 January 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f2dc33b60c4b84b56ce4af3b888e762cc614df03

zbMATH Keywords

random dynamical systemrandom invariant manifoldrandom slow manifoldstochastic chemical systemstochastic singular perturbationstochastic Davis-Skodje system

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Ordinary differential equations and systems with randomness (34F05) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Random dynamical systems (37H99) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System ⋮ Computational singular perturbation analysis of stochastic chemical systems with stiffness ⋮ Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies ⋮ Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays ⋮ The role of slow manifolds in parameter estimation for a multiscale stochastic system with α-stable Lévy noise ⋮ Explicit Integration of Stiff Stochastic Differential Equations via an Efficient Implementation of Stochastic Computational Singular Perturbation ⋮ A Wong-Zakai approximation for random slow manifolds with application to parameter estimation

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