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Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. (English) Zbl 1089.37024

MSC:
37C75 Stability theory for smooth dynamical systems
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
94C15 Applications of graph theory to circuits and networks
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