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Cusp catastrophe in a mathematical model of the catalytic reactor of ideal intermixing - MaRDI portal

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Cusp catastrophe in a mathematical model of the catalytic reactor of ideal intermixing (Q2773583)

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scientific article; zbMATH DE number 1710217
Language Label Description Also known as
English
Cusp catastrophe in a mathematical model of the catalytic reactor of ideal intermixing
scientific article; zbMATH DE number 1710217

    Statements

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    24 February 2002
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    chemical kinetics
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    catalytic reactor
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    mathematical model
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    singularly perturbed system
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    cusp catastrophe
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    slow integral manifold
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    Cusp catastrophe in a mathematical model of the catalytic reactor of ideal intermixing (English)
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    The article under review is a continuation of the author's paper [Sib. Zh. Ind. Mat. 3, No. 2, 152--158 (2000; Zbl 0966.80010)], wherein the smoothness of a slow integral manifold is studied which was obtained from a system of differential equations with a small parameter describing a mathematical model of a catalytic reactor.NEWLINENEWLINE The aim of the article under review is to prove that the slow surface of the system of differential equations under consideration represented by a cusp surface is a smooth manifold.
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