Method of invariant manifold for chemical kinetics

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dc.creatorGorban, Alexander N.
dc.creatorKarlin, Iliya V.
dc.date2002-07-09
dc.date.accessioned2026-07-07T02:46:11Z
dc.date.available2026-07-07T02:46:11Z
dc.descriptionIn this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A review of existing alternative methods is extended by a thermodynamically consistent version of the method of intrinsic low-dimensional manifolds. A grid-based version of MIM is developed, and model extensions of low-dimensional dynamics are described. Generalizations to open systems are suggested. The set of methods covered makes it possible to effectively reduce description in chemical kinetics.
dc.description41 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0207231
dc.identifierhttp://arxiv.org/abs/cond-mat/0207231
dc.identifierChemical Engineering Science, Volume 58, Issue 21, November 2003, Pages 4751-4768
dc.identifierdoi:10.1016/j.ces.2002.12.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19573
dc.subjectStatistical Mechanics
dc.subjectMaterials Science
dc.subjectDynamical Systems
dc.subjectChemical Physics
dc.titleMethod of invariant manifold for chemical kinetics
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