Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noether's theorem for higher-order variational problems of Herglotz type   We approach higher-order variational problems of Herglotz type from an
optimal control point of view. Using optimal control theory, we derive a
generalized Euler-Lagrange equation, transversality conditions, a
DuBois-Reymond necessary optimality condition and Noether's theorem for
Herglotz's type higher-order variational problems, valid for piecewise smooth
functions.

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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin