About: Contact symmetries of the Helmholtz form

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	V článku jsou studována vektorová pole, která jsou symetriemi kontaktního ideálu. Je ukázáno, že kontaktní symetrie Helmholtzovy formy transformují nevariační dynamickou formu ve variační (tj. v Eulerovu-Lagrangeovu formu nějakého Lagrngiánu). Podrobně je analyzován případ dynamických forem, které reprezentují třídy prvního řádu ve variační posloupnosti, tedy, jak plyne z teorie variačních posloupností, jsou studovány systémy obyčejných diferenciálních rovnic řádu . (cs) In this paper, vector fields which are symmetries of the contact ideal are studied. It is shown that contact symmetries of the Helmholtz form transform a dynamical form to a dynamical form which is variational (i.e. comes as the Euler?Lagrange form from a Lagrangian). The case of dynamical forms representing first-order classes in the variational sequence is analysed in detail, which means, by the variational sequence theory, that systems of ordinary differential equations of order are concerned. In this paper, vector fields which are symmetries of the contact ideal are studied. It is shown that contact symmetries of the Helmholtz form transform a dynamical form to a dynamical form which is variational (i.e. comes as the Euler?Lagrange form from a Lagrangian). The case of dynamical forms representing first-order classes in the variational sequence is analysed in detail, which means, by the variational sequence theory, that systems of ordinary differential equations of order are concerned. (en)
Title	Contact symmetries of the Helmholtz form Contact symmetries of the Helmholtz form (en) Kontaktní symetrie Helmholtzovy formy (cs)
skos:prefLabel	Contact symmetries of the Helmholtz form Contact symmetries of the Helmholtz form (en) Kontaktní symetrie Helmholtzovy formy (cs)
skos:notation	RIV/61989592:15310/07:00004550!RIV08-MSM-15310___
http://linked.open.../vavai/riv/strany	518-542
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/03/0512), P(GA201/06/0922), Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2008
http://linked.open...aciTvurceVysledku	Krupková, Olga Krupka, Demeter
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	414884
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/07:00004550
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Fibred manifold; Lagrangian; dynamical form; variational sequence; contact form; contact symmetry; Helmholtz form. (en)
http://linked.open.../riv/klicoveSlovo	variational sequence Helmholtz form. Lagrangian Fibred manifold contact symmetry contact form dynamical form
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[2E5DE2BC2A20]
http://linked.open...i/riv/nazevZdroje	Differential Geometry and Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Geometric analysis and its applications in physics Global analysis and its applications
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	25
http://linked.open...iv/tvurceVysledku	Krupková, Olga Krupka, Demeter Prince, G. Sarlet, W.
http://linked.open...n/vavai/riv/zamer	Matematické modely a struktury
issn	0926-2245
number of pages	25 (xsd:int)
http://localhost/t...ganizacniJednotka	15310
is http://linked.open...avai/riv/vysledek of	Contact symmetries of the Helmholtz form Contact symmetries of the Helmholtz form Contact symmetries of the Helmholtz form

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