Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Degeneration scheme of 4-dimensional Painlev\'e-type equations   Four 4-dimensional Painlev\'e-type equations are obtained by isomonodromic
deformation of Fuchsian equations: they are the Garnier system in two
variables, the Fuji-Suzuki system, the Sasano system, and the sixth matrix
Painlev\'e system. Degenerating these four source equations, we systematically
obtained other 4-dimensional Painlev\'e-type equations. If we only consider
Painlev\'e-type equations whose associated linear equations are of unramified
type, there are 22 types of 4-dimensional Painlev\'e-type equations: 9 of them
are partial differential equations, 13 of them are ordinary differential
equations. Some well-known equations such as Noumi-Yamada systems are included
in this list. They are written as Hamiltonian systems, and their Hamiltonians
are neatly written using Hamiltonians of the classical Painlev\'e equations.

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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat