About: Symmetries of a dynamical system represented by singular Lagrangians

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Dynamical properties of singular Lagrangian systems differ from those of classical Lagrangians of the form L=T-V. Even less is known about symmetries and conservation laws of such Lagrangians and of their corresponding actions. In this article we study symmetries and conservation laws of a concrete singular Lagrangian system interesting in physics. We solve the problem of determining all point symmetries of the Lagrangian and of its Euler-Lagrange form, i.e. of the action. It is known that every point symmetry of a Lagrangian is a point symmetry of its Euler-Lagrange form, and this of course happens also in our case. We are also interested in the converse statement, namely if to every point symmetry of the Euler-Lagrange form E there exists a Lagrangian for E such that the symmetry is a point symmetry of the Lagrangian In the case studied the answer is affirmative, moreover we have found that the corresponding Lagrangians are all of order one. Dynamical properties of singular Lagrangian systems differ from those of classical Lagrangians of the form L=T-V. Even less is known about symmetries and conservation laws of such Lagrangians and of their corresponding actions. In this article we study symmetries and conservation laws of a concrete singular Lagrangian system interesting in physics. We solve the problem of determining all point symmetries of the Lagrangian and of its Euler-Lagrange form, i.e. of the action. It is known that every point symmetry of a Lagrangian is a point symmetry of its Euler-Lagrange form, and this of course happens also in our case. We are also interested in the converse statement, namely if to every point symmetry of the Euler-Lagrange form E there exists a Lagrangian for E such that the symmetry is a point symmetry of the Lagrangian In the case studied the answer is affirmative, moreover we have found that the corresponding Lagrangians are all of order one. (en)
Title	Symmetries of a dynamical system represented by singular Lagrangians Symmetries of a dynamical system represented by singular Lagrangians (en)
skos:prefLabel	Symmetries of a dynamical system represented by singular Lagrangians Symmetries of a dynamical system represented by singular Lagrangians (en)
skos:notation	RIV/61988987:17310/12:A140168W!RIV14-GA0-17310___
http://linked.open...avai/predkladatel	Přírodovědecká fakulta
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/09/0981)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Havelková, Monika
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	Ostravská univerzita v Ostravě / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	172802
http://linked.open...ai/riv/idVysledku	RIV/61988987:17310/12:A140168W
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	singular Lagrangians; Euler-Lagrange form; point symmetry; conservation law; equivalent Lagrangians (en)
http://linked.open.../riv/klicoveSlovo	conservation law Euler-Lagrange form equivalent Lagrangians point symmetry singular Lagrangians
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[14BE10DABE5D]
http://linked.open...i/riv/nazevZdroje	Communications in Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Global Analysis and the Geometry of Fibred Spaces
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	20
http://linked.open...iv/tvurceVysledku	Havelková, Monika
issn	1804-1388
number of pages	10 (xsd:int)
http://localhost/t...ganizacniJednotka	17310

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