Before revision:  A novel dynamical mean-field theory for  networks of multi-dimensional rate units shows that , despite the nonlinear interactions between units, the recurrent network dynamics inherit, in the chaotic phase , the qualitative features of the linear response properties of the single units.
After revision:  A novel dynamical mean-field theory for networks of multi-dimensional rate units shows that , despite the nonlinear interactions between units, the recurrent network dynamics inherit, in the chaotic phase emerges from a nonlinear sharpening of the frequency response function of single units.