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This paper studies the stability of synchronized states in networks wherecouplings between nodes are characterized by some distributed time delay, anddevelops a generalized master stability function approach. Using a genericexample of Stuart-Landau oscillators, it is shown how the stability ofsynchronized solutions in networks with distributed delay coupling can bedetermined through a semi-analytic computation of Floquet exponents. Theanalysis of stability of fully synchronized and of cluster or splay states isillustrated for several practically important choices of delay distributionsand network topologies.

Synchronization of networks of oscillators with distributed delay coupling