  We study the effect of coupling delay in a regular network with a ring
topology and in a more complex network with an all-to-all (global) topology in
the presence of impurities (disorder). We find that the coupling delay is
capable of inducing phase-coherent chaotic oscillations in both types of
networks, thereby enhancing the spatiotemporal complexity even in the presence
of 50% of symmetric disorders of both fixed and random types. Furthermore, the
coupling delay increases the robustness of the networks up to 70% of disorders,
thereby preventing the network from acquiring periodic oscillations to foster
disorder-induced spatiotemporal order. We also confirm the enhancement of
coherent chaotic oscillations using snapshots of the phases and values of the
associated Kuramoto order parameter. We also explain a possible mechanism for
the phenomenon of delay-induced coherent chaotic oscillations despite the
presence of large disorders and discuss its applications.

Chaotic Dynamics