Linearization and H\" older Continuity for Nonautonomous Systems

Lucas Backes, Davor Dragičević, Kenneth J. Palmer

We consider a nonautonomous system \[ \dot x=A(t)x+f(t,x,y),\quad \dot y = g(t,y)\] and give conditions under which there is a transformation of the form $H(t,x,y)=(x+h(t,x,y),y)$…