Forced-convergence iterative schemes for the approximation of invariant manifolds

DOI10.1023/A:1019151225744zbMath0890.92013OpenAlexW68894988MaRDI QIDQ1381397

Marc R. Roussel

Publication date: 4 May 1998

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019151225744

zbMATH Keywords

chemical kineticsinvariant manifoldslow manifoldMichaelis-Menten systemFraser iterated functional mapping

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Applications of dynamical systems (37N99)

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On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism, An Invariant-Manifold Approach to Lumping, A new model reduction method for nonlinear dynamical systems, Order reduction of a non-Lipschitzian model of monodisperse spray ignition, A model-reduction method for nonlinear discrete-time skew-product dynamical systems in the presence of model uncertainty, Properties of the Michaelis-Menten mechanism in phase space, Higher order corrections in the approximation of low-dimensional manifolds and the construction of simplified problems with the CSP method, An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems, Parametric optimization of digitally controlled nonlinear reactor dynamics using Zubov-like functional equations, Asymptotic analysis of two reduction methods for systems of chemical reactions, Slow attractive canonical invariant manifolds for reactive systems

Cites Work

• The use of algebraic sets in the approximation of inertial manifolds and lumping in chemical kinetic systems
• The Utility of an Invariant Manifold Description of the Evolution of a Dynamical System
• Runge–Kutta Solutions of Stiff Differential Equations Near Stationary Points
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