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arXiv · 1112.5602

Delay-enhanced coherent chaotic oscillations in networks with large disorders

D. V. Senthilkumar·R. Suresh·Jane H. Sheeba·M. Lakshmanan·J. Kurths
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Abstract

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.

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D. V. Senthilkumar, R. Suresh, Jane H. Sheeba, M. Lakshmanan, J. Kurths. 2011-12-22. Delay-enhanced coherent chaotic oscillations in networks with large disorders. https://doi.org/10.1103/physreve.84.066206

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