Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low dimensional bifurcations of snap-back repellors   We study the relationship between homoclinic orbits associated to repellors,
usually called snap-back repellors, and expanding sets of smooth endomorphisms.
Critical homoclinic orbits constitutes an interesting bifurcation that is
locally contained in the boundary of the set of maps having homoclinic orbits.
This and other possible routes to the creation of homoclinic orbits are
considered in low dimensions.

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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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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: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg