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Dynamical Mean-Field Theory of Complex Systems on Sparse Directed Networks

Dynamical Mean-Field Theory of Complex Systems on Sparse Directed Networks

Although real-world complex systems typically interact through sparse and heterogeneous networks, analytic solutions of their dynamics are limited to models with all-to-all interactions. Here, we solve the dynamics of a broad range of nonlinear models of complex systems on sparse directed networks with a random structure. By generalizing dynamical mean-field …