Symmetries and the inverse problem of Lagrangian dynamics for linear systems

DOI10.1017/S0334270000004033zbMath0523.70022MaRDI QIDQ3674129

Willy Sarlet

Publication date: 1983

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

second-order ordinary differential equationsfirst integralspoint symmetriesinverse problem of Lagrangian dynamicslinear dynamical symmetriesmultiplier matrixn-dimensional time-dependent isotropic oscillator

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)

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