# Method of invariant manifold for chemical kinetics

Source: [Method of invariant manifold for chemical kinetics](<https://www.sota2.com/research/paper/68fa1e387a2b558e29320e05>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T15:52:35.820Z

Authors: Alexander N. Gorban, Iliya V. Karlin

Published: 2002-07-09T12:14:33.000Z

## Abstract

In 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0207231>)

[PDF](<https://arxiv.org/pdf/cond-mat/0207231.pdf>)