Before revision:  We use random matrix theory (RMT) to analytically characterize the spectrum of the Jacobian and show how gating produces slow modes and marginal stability . Thus, gating is a potential mechanism to implement computations involving line attractor dynamics .
After revision:  We use random matrix theory (RMT) to analytically characterize the spectrum of the Jacobian and show how gating robustly produces marginal stability and line attractors -- important mechanisms for biologically-relevant computations requiring long memory .