Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback (Q1347236)

In this paper second-order delay differential equations are considered. The dynamics of such equations when its steady state becomes unstable is investigated by constructing central manifolds. First, linear stability analysis is made, and then on the boundary of the stability region the nature of Hopf bifurcation is classified. Computer calculations of the center manifolds that occur are done, using the algebraic manipulation program Maple.