  Chaos synchronization may arise in networks of nonlinear units with delayed
couplings. We study complete and sublattice synchronization generated by
resonance of two large time delays with a specific ratio. As it is known for
single delay networks, the number of synchronized sublattices is determined by
the Greatest Common Divisor (GCD) of the network loops lengths. We demonstrate
analytically the GCD condition in networks of iterated Bernouilli maps with
multiple delay times and complement our analytic results by numerical phase
diagrams, providing parameter regions showing complete and sublattice
synchronization by resonance for Tent and Bernouilli maps. We compare networks
with the same GCD with single and multiple delays, and we investigate the
sensitivity of the correlation to a detuning between the delays in a network of
coupled Stuart-Landau oscillators. Moreover, the GCD condition also allows to
detect time delay resonances leading to high correlations in non-synchronizable
networks. Specifically, GCD-induced resonances are observed both in a chaotic
asymmetric network and in doubly connected rings of delay-coupled noisy linear
oscillators.
