Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homoclinic tangencies and hyperbolicity for surface diffeomorphisms   We prove here that in the complement of the closure of the hyperbolic surface
diffeomorphisms, the ones exhibiting a homoclinic tangency are C^1 dense. This
represents a step towards the global understanding of dynamics of surface
diffeomorphisms.

17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs