. "RIV/61988987:17310/12:A130169C!RIV13-GA0-17310___" . "We extend the results obtained in a previous paper about a class of Lagrangian systems which admit alternative kinetic energy metrics to second-order mechanical systems with explicit time-dependence. The main results are that a time-dependent alternative metric will have constant eigenvalues, and will give rise to a time-dependent coordinate transformation which partially decouples the system." . . . . "AU - Australsk\u00E9 spole\u010Denstv\u00ED" . "We extend the results obtained in a previous paper about a class of Lagrangian systems which admit alternative kinetic energy metrics to second-order mechanical systems with explicit time-dependence. The main results are that a time-dependent alternative metric will have constant eigenvalues, and will give rise to a time-dependent coordinate transformation which partially decouples the system."@en . "1751-8113" . "Mestdag, T." . . "Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type" . . . "45" . "Krupkov\u00E1, Olga" . "Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type" . "1"^^ . "J. Phys. A: Math. Theor." . "8" . . . "4"^^ . "Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type"@en . . . "Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type"@en . "RIV/61988987:17310/12:A130169C" . "P(GA201/09/0981)" . . "Helmholtz conditions; inverse problem; calculus"@en . . "174478" . . "Prince, G." . . "17310" . . "Sarlet, W." . "[AEF68502FB78]" . "13"^^ .