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Three-dimensional dynamical systems with four-dimensional vessiot-guldberg-lie algebras
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för matematik och naturvetenskap.
Ufimskij Gosudarstvennyj Aviacionnyj Tehniceskij Universitet, RUS.
2017 (engelsk)Inngår i: The Journal of Applied Analysis and Computation, ISSN 2156-907X, E-ISSN 2158-5644, Vol. 7, nr 3, s. 872-883Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

- Dynamical systems attract much attention due to their wide applications. Many significant results have been obtained in this field from various points of view. The present paper is devoted to an algebraic method of integration of three-dimensional nonlinear time dependent dynamical systems admitting nonlinear superposition with four-dimensional Vessiot-Guldberg-Lie algebras L4. The invariance of the relation between a dynamical system admitting nonlinear superposition and its Vessiot-Guldberg-Lie algebra is the core of the integration method. It allows to simplify the dynamical systems in question by reducing them to standard forms. We reduce the three-dimensional dynamical systems with four-dimensional Vessiot-Guldberg-Lie algebras to 98 standard types and show that 86 of them are integrable by quadratures.

sted, utgiver, år, opplag, sider
Wilmington Scientific Publisher , 2017. Vol. 7, nr 3, s. 872-883
Emneord [en]
Nonlinear superposition of solutions, Standard forms of L4, Time dependent dynamical system, Vessiot-guldberg-lie algebra L4
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-14676DOI: 10.11948/2017055ISI: 000405793700006OAI: oai:DiVA.org:bth-14676DiVA, id: diva2:1113951
Tilgjengelig fra: 2017-06-22 Laget: 2017-06-22 Sist oppdatert: 2017-08-22bibliografisk kontrollert

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