Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strongly dissipative surface diffeomorphisms   We introduce a class of volume-contracting surface diffeomorphisms whose
dynamics is intermediate between one-dimensional dynamics and general surface
dynamics. For that type of systems one can associate to the dynamics a reduced
one-dimensional model and it is proved a type of $C^\infty-$closing lemma on
the support of every ergodic measure. We also show that this class contains
H\'enon maps with Jacobian in $(-1/4,1/4)$.

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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
3
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: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: eess
1
The categories of this paper are: cs