Delay-enhanced coherent chaotic oscillations in networks with large disorders
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.
Keywords
Cite
@article{arxiv.1112.5602,
title = {Delay-enhanced coherent chaotic oscillations in networks with large disorders},
author = {D. V. Senthilkumar and R. Suresh and Jane H. Sheeba and M. Lakshmanan and J. Kurths},
journal= {arXiv preprint arXiv:1112.5602},
year = {2011}
}
Comments
13 pages, 20 figures