Stability of Hopf bifurcation in quasi-linear models (Q1895339)

The author considers quasi-nonlinear, ordinary differential equations of the form \[ \begin{aligned} \dot x & = F(y, \lambda) x+ h\\ y & = G_0 x,\end{aligned} \] which arise in population dynamics and biochemical kinetics. The stability analysis of the Hopf-bifurcation is studied via control theoretic methods.