Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear Interaction of Transversal Modes in a CO2 Laser   We show the possibility of achieving experimentally a Takens-Bogdanov
bifurcation for the nonlinear interaction of two transverse modes ($l = \pm 1$)
in a $CO_2$ laser. The system has a basic O(2) symmetry which is perturbed by
some symmetry-breaking effects that still preserve the $Z_2$ symmetry. The
pattern dynamics near this codimension two bifurcation under such symmetries is
described. This dynamics changes drastically when the laser properties are
modified.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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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: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex