Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cone Conditions and Covering Relations for Topologically Normally
  Hyperbolic Invariant Manifolds   We present a topological proof of the existence of invariant manifolds for
maps with normally hyperbolic-like properties. The proof is conducted in the
phase space of the system. In our approach we do not require that the map is a
perturbation of some other map for which we already have an invariant manifold.
We provide conditions which imply the existence of the manifold within an
investigated region of the phase space. The required assumptions are formulated
in a way which allows for rigorous computer assisted verification. We apply our
method to obtain an invariant manifold within an explicit range of parameters
for the rotating H\'enon map.

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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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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: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas