Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie-point symmetries of the Lagrangian system on time scales   This letter investigates the Lie point symmetries and conserved quantities of
the Lagrangian systems on time scales, which unify the Lie symmetries of the
two cases for the continuous and the discrete Lagrangian systems. By defining
the infinitesimal transformations' generators and using the invariance of
differential equations under infinitesimal transformations, the determining
equations of the Lie symmetries on time scales are established. Then the
structure equations and the form of conserved quantities with delta derivatives
are obtained. The letter also gives brief discussion on the Lie symmetries for
the discrete systems. Finally, several examples are designed to illustrate
these results.

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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: acc-phys