Networks of nonlinear units with time-delayed couplings can synchronize to acommon chaotic trajectory. Although the delay time may be very large, the unitscan synchronize completely without time shift. For networks of coupledBernoulli maps, analytic results are derived for the stability of the chaoticsynchronization manifold. For a single delay time, chaos synchronization isrelated to the spectral gap of the coupling matrix. For networks with multipledelay times, analytic results are obtained from the theory of polynomials.Finally, the analytic results are compared with networks of iterated tent mapsand Lang-Kobayashi equations which imitate the behaviour of networks ofsemiconductor lasers.
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