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
w21βz2zΛ. More precisely, in order to determine the values at 0,
respectively βr of the function w21β(.), 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 w21β(0).Comment: Presented at the Conference on Applied and Industrial Mathematics-
CAIM 2011, Iasi, Romania, 22-25 September, 2011. Preprin