Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bifurcations, robustness and shape theory of attractors of discrete
  dynamical systems   We study in this paper global properties, mainly of topological nature, of
attractors of discrete dynamical systems. We consider the Andronov-Hopf
bifurcation for homeomorphisms of the plane and establish some robustness
properties for attractors of such homeomorphisms. We also give relations
between attractors of flows and quasi-attractors of homeomorphisms in Rn.
Finally, we give a result on the shape (in the sense of Borsuk) of invariant
sets of IFSs on the plane, and make some remarks about the recent theory of
Conley attractors for IFS.

34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph