Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A dichotomy in area-preserving reversible maps   In this paper we study R-reversible area-preserving maps f on a
two-dimensional Riemannian closed manifold M, i.e. diffeomorphisms f such that
Ro f=f^{-1}o R where R is an isometric involution on M. We obtain a C1-residual
subset where any map inside it is Anosov or else has a dense set of elliptic
periodic orbits. As a consequence we obtain the proof of the stability
conjecture for this class of maps. Along the paper we also derive the
C1-closing lemma for reversible maps and other perturbation toolboxes.

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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs