Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacobi-Lie systems: Fundamentals and low-dimensional classification   A Lie system is a system of differential equations describing the integral
curves of a $t$-dependent vector field taking values in a finite-dimensional
real Lie algebra of vector fields, a Vessiot-Guldberg Lie algebra. We define
and analyze Lie systems possessing a Vessiot-Guldberg Lie algebra of
Hamiltonian vector fields relative to a Jacobi manifold, the hereafter called
Jacobi-Lie systems. We classify Jacobi-Lie systems on $\mathbb{R}$ and
$\mathbb{R}^2$. Our results shall be illustrated through examples of physical
and mathematical interest.

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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci