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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)
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Title
| - Contact symmetries of the Helmholtz form
- Contact symmetries of the Helmholtz form (en)
- Kontaktní symetrie Helmholtzovy formy (cs)
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skos:prefLabel
| - Contact symmetries of the Helmholtz form
- Contact symmetries of the Helmholtz form (en)
- Kontaktní symetrie Helmholtzovy formy (cs)
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skos:notation
| - RIV/61989592:15310/07:00004550!RIV08-MSM-15310___
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/03/0512), P(GA201/06/0922), Z(MSM6198959214)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/61989592:15310/07:00004550
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Fibred manifold; Lagrangian; dynamical form; variational sequence; contact form; contact symmetry; Helmholtz form. (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Differential Geometry and Applications
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Krupková, Olga
- Krupka, Demeter
- Prince, G.
- Sarlet, W.
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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