Slow attractive canonical invariant manifolds for reactive systems

DOI10.1007/s10910-014-0454-6zbMath1323.80003OpenAlexW2107893727MaRDI QIDQ2353532

Samuel Paolucci, Joshua~D. Mengers, Ashraf~N. Al-Khateeb, Joseph M. Powers

Publication date: 15 July 2015

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

Full work available at URL: https://doi.org/10.1007/s10910-014-0454-6

zbMATH Keywords

model reductionchemical kineticsslow manifoldattractive manifoldcannonical invariant manifold

Mathematics Subject Classification ID

Chemical kinetics in thermodynamics and heat transfer (80A30) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Uses Software

• Eigtool

Cites Work

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• The slow invariant manifold of the Lorenz-Krishnamurthy model
• Stiffness of ODEs
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• Repro-modelling based generation of intrinsic low-dimensional manifolds
• Stretching-based diagnostics and reduction of chemical kinetic models with diffusion
• One-Dimensional Slow Invariant Manifolds for Fully Coupled Reaction and Micro-scale Diffusion
• The geometry of reaction trajectories and attracting manifolds in composition space
• DIFFERENTIAL GEOMETRY AND MECHANICS: APPLICATIONS TO CHAOTIC DYNAMICAL SYSTEMS

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