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Quadratic first integrals for natural Lagrangian systems. (English) Zbl 1181.70018

Summary: Quadratic in moments first integrals for Lagrangian systems of natural type are discussed and the two-dimensional case is detailed.

MSC:

70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics
70H03 Lagrange’s equations
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