Beardmore, R.; Webster, K. - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 4, pp. 1383-1395
We prove a Hopf bifurcation result for singular differential–algebraic equations (DAE) under the assumption that a trivial locus of equilibria is situated on the singularity as the bifurcation occurs. The structure that we need to obtain this result is that the linearisation of the DAE has a...