Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Lie symmetries of a class of generalized Ermakov systems   The symmetry analysis of Ermakov systems is extended to the generalized case
where the frequency depends on the dynamical variables besides time. In this
extended framework, a whole class of nonlinearly coupled oscillators are viewed
as Hamiltonian Ermakov system and exactly solved in closed form.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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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: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: hep-lat