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Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887819501603
Abstract: We determine the approximate Noether point symmetries of the variational principle characterizing second-order equations of motion of a particle in a (finite-dimensional) Riemannian manifold. In particular, the Lagrangian comprises of kinetic energy and a potential…
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Keywords:
approximate lagrangians;
noether symmetries;
dynamical systems;
formula see ... See more keywords