Algebraic decoupling of variables for systems of ODEs of quasipolynomial form

A generalization of the reduction technique for ODEs recently introduced by Gao and Liu is given. It is shown that the use of algebraic methods allows the extension of the procedure to much more general flows, as well as the derivation of simple criteria for the identification of reducible systems.

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Bibliographic Details
Published inarXiv.org
Main Authors Hernández-Bermejo, Benito, Fairén, Victor
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.10.2019
Subjects
Algebra
Decoupling
Mathematical analysis
Mathematics - Classical Analysis and ODEs
Mathematics - Dynamical Systems
Mathematics - Mathematical Physics
Physics - Exactly Solvable and Integrable Systems
Physics - Mathematical Physics
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Summary:A generalization of the reduction technique for ODEs recently introduced by Gao and Liu is given. It is shown that the use of algebraic methods allows the extension of the procedure to much more general flows, as well as the derivation of simple criteria for the identification of reducible systems.
ISSN:2331-8422
DOI:10.48550/arxiv.1910.04549