Summary
A novel approach to the practical study of delay equations consists in reformulating them as abstract differential equations, applying a pseudospectral discretization in order to obtain a system of ordinary differential equations (ODEs) and using available numerical methods for ODEs. This technique has been applied in particular to study the stability and bifurcations using MatCont, a MATLAB-based bifurcation package for ODEs. In order to make the approach more accessible to users who are not familiar with numerical methods and programming, we developed an extension of MatCont implementing the technique for delay differential equations and renewal equations with constant finite discrete and distributed delays.
