## Software implementations

The code that was originally part of my thesis text is being rewritten and integrated in the DelayTools package for Maple.

Recent versions of the MATLAB and GNU Octave compatible package DDE-BIFTOOL are capable of calculating critical normal form coefficients for local bifurcations, for the case of delay differential equations with finitely many constant delays,

\[

\dot{x}(t) = f(x(t), x(t – \tau_1),\ldots,x(t – \tau_m),\alpha),

\]

where $x(t) \in \mathbb{R}^n$, $\alpha \in \mathbb{R}^p$ is a parameter vector and $0 < \tau_1 < \ldots < \tau_m < \infty$.
Software implementation in DDE-BIFTOOL is done in cooperation with M.M. Bosschaert (Hasselt, Belgium) and Yu.A. Kuznetsov (Utrecht, The Netherlands).