Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic bifurcation of certain piecewise smooth vector fields   This paper presents results concerning bifurcations of 2D piecewise-smooth
dynamical systems governed by vector fields. Generic three-parameter families
of a class of Non-Smooth Vector Fields are studied and the bifurcation diagrams
are exhibited. Our main results describe the unfolding of the so called
Resonant $Fold-Saddle$ singularity.

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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th