3 problems

Consider a continuous ODE with a generic Hopf bifurcation and an analogous flow-kick system. Hopf-to-Neimark–Sacker conjecture. With few additional conditions, the Hopf bifurcation…

Let an equilibrium of a continuous ODE continue to a fixed point of an analogous flow-kick system. Suppose that the equilibrium's type in the ODE system is nondegenerate; examples…

Let a continuous system have a saddle-node bifurcation in the parameter $\lambda$, and let an analogous flow-kick system have disturbance period $\tau$ and average disturbance rate…