Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Birth of discrete Lorenz attractors at the bifurcations of 3D maps with
  homoclinic tangencies to saddle points   It was established in 2006 that bifurcations of three-dimensional
diffeomorphisms with a homoclinic tangency to a saddle-focus fixed point with
the Jacobian equal to 1 can lead to Lorenz-like strange attractors. In the
present paper we prove an analogous result for three-dimensional
diffeomorphisms with a homoclinic tangency to a saddle fixed point with the
Jacobian equal to 1, provided the quadratic homoclinic tangency under
consideration is non-simple.

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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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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: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: ao-sci