Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dissipative homoclinic loops and rank one chaos   We prove that when subjected to periodic forcing of the form $p_{\mu, \rh,
\om} (t) = \mu (\rh h(x,y) + \sin (\om t))$, certain second order systems of
differential equations with dissipative homoclinic loops admit strange
attractors with SRB measures for a set of forcing parameters $(\mu, \rh, \om)$
of positive measure. Our proof applies the recent theory of rank one maps,
developed by Wang and Young based on the analysis of strongly dissipative
H\'enon maps by Benedicks and Carleson.

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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio