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Classification and integration of four-dimensional dynamical systems admitting non-linear superposition
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för matematik och naturvetenskap.
Ufa State Aviation Technical University, RUS.
2017 (engelsk)Inngår i: International Journal of Non-Linear Mechanics, ISSN 0020-7462, Vol. 90, s. 50-71Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
Elsevier, 2017. Vol. 90, s. 50-71
Emneord [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
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Identifikatorer
URN: urn:nbn:se:bth-13866DOI: 10.1016/j.ijnonlinmec.2017.01.008ISI: 000395220500006Scopus ID: 2-s2.0-85009917851OAI: oai:DiVA.org:bth-13866DiVA, id: diva2:1072047
Tilgjengelig fra: 2017-02-07 Laget: 2017-02-03 Sist oppdatert: 2017-09-20bibliografisk kontrollert

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