Bifurcations in non-autonomous scalar equations (Q818428)

Building on earlier work in which they introduced definitions of stability for nonautonomous ordinary differential equations, in this paper, the authors formulate and prove general theorems guaranteeing transcritical, pitchfork, and saddle-node bifurcations in the family of equations \(\dot x = f(x,t,\lambda)\), where \(\lambda\) is a real parameter.