Before revision:  The long-time behavior of the gated network is studied using its Lyapunov spectrum, and the DMFT is used to provide an analytical prediction for the maximum Lyapunov exponent . We also show that gating gives rise to a novel, discontinuous transition to chaos, where the proliferation of critical points is decoupled with the appearance of chaotic dynamics ;
After revision:  The long-time behavior of the gated network is studied using its Lyapunov spectrum, and the DMFT is used to provide an analytical prediction for the maximum Lyapunov exponent demonstrating its close relation to relaxation time of the dynamics. Gating is also shown to give rise to a novel, discontinuous transition to chaos, where the proliferation of critical points is decoupled with the appearance of chaotic dynamics ;