Variational symmetries of Lagrangian systems with higher-order derivatives

Abstract

We discuss an elementary derivation of variational symmetries and corresponding integrals of motion for the Lagrangian systems depending on acceleration. Providing several examples, we make the manuscript accessible to a wide range of readers with interest in higher-order Lagrangians and symmetries. The discussed technique is also applicable to the Lagrangian systems with higher-order derivatives.

arXiv comment15 pages, v2: minor corrections, and refs. added

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