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Classification and integration of four-dimensional dynamical systems admitting non-linear superposition
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
Ufa State Aviation Technical University, RUS.
2017 (English)In: International Journal of Non-Linear Mechanics, ISSN 0020-7462, Vol. 90, 50-71 p.Article in journal (Refereed) Published
Abstract [en]

The method of integration of dynamical systems admitting non-linear superpositions is applied to four-dimensional non-linear dynamical systems. All four-dimensional dynamical systems admitting non-linear superpositions with four-dimensional Vessiot-Guldberg-Lie algebras are classified into 160 standard forms. The integration method is described and illustrated.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 90, 50-71 p.
Keyword [en]
Classification, Dynamical system, Integration, Non-linear superposition, Standard forms of dynamical systems, Vessiot-Guldberg-Lie algebra, Algebra, Classification (of information), Linear control systems, Integration method, Lie Algebra, Method of integration, Non linear, Dynamical systems
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:bth-13866DOI: 10.1016/j.ijnonlinmec.2017.01.008ISI: 10.1016/j.ijnonlinmec.2017.01.008Scopus ID: 2-s2.0-85009917851OAI: oai:DiVA.org:bth-13866DiVA: diva2:1072047
Available from: 2017-02-07 Created: 2017-02-03 Last updated: 2017-04-18Bibliographically approved

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CiteExportLink to record
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