Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the computation of the term $w_{21}z^2\bar{z}$ of the series defining
  the center manifold for a scalar delay differential equation   In computing the third order terms of the series of powers of the center
manifold at an equilibrium point of a scalar delay differential equation, with
a single constant delay $r>0,$ some problems occur at the term
$w_{21}z^2\bar{z}.$ More precisely, in order to determine the values at 0,
respectively $-r$ of the function $w_{21}(\,.\,),$ an algebraic system of
equations must be solved. We show that the two equations are dependent, hence
the system has an infinity of solutions. Then we show how we can overcome this
lack of uniqueness and provide a formula for $w_{21}(0).$

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The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg