Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bifurcation analysis of rotating axially compressed imperfect nano-rod   Static stability problem for axially compressed rotating nano-rod clamped at
one and free at the other end is analyzed by the use of bifurcation theory. It
is obtained that the pitchfork bifurcation may be either super- or
sub-critical. Considering the imperfections in rod's shape and loading, it is
proved that they constitute the two-parameter universal unfolding of the
problem. Numerical analysis also revealed that for non-locality parameters
having higher value than the critical one interaction curves have two branches,
so that for a single critical value of angular velocity there exist two
critical values of horizontal force.

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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: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org