Numerical Bifurcation Analysis of Diierential Equations with State-dependent Delay Numerical Bifurcation Analysis of Diierential Equations with State-dependent Delay

In this paper we extend existing numerical methods for bifurca-tion analysis of delay diierential equations with constant delay towards equations with state-dependent delay. In particular, we study the computation, continuation and stability of steady state solutions and periodic solutions of such equations. We collect the relevant theory and point out open theoretical problems in the context of bifurcation analysis. We investigate two examples and compare computational results with analytical ones whenever possible. The results presented show that numerical bifurcation analysis of differential equations with state-dependent delay can be successfully achieved.