. . "[14BE10DABE5D]" . "172802" . "Symmetries of a dynamical system represented by singular Lagrangians" . . . "Symmetries of a dynamical system represented by singular Lagrangians"@en . "CZ - \u010Cesk\u00E1 republika" . "Communications in Mathematics" . . . "singular Lagrangians; Euler-Lagrange form; point symmetry; conservation law; equivalent Lagrangians"@en . . "10"^^ . "Havelkov\u00E1, Monika" . "17310" . . "Symmetries of a dynamical system represented by singular Lagrangians" . . "RIV/61988987:17310/12:A140168W!RIV14-GA0-17310___" . . "1" . . "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 . . . . "20" . . "1"^^ . "RIV/61988987:17310/12:A140168W" . "1804-1388" . "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." . . . "P(GA201/09/0981)" . "Symmetries of a dynamical system represented by singular Lagrangians"@en . . "1"^^ .