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Role of network topology in noise reduction using coupled dynamics

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Abstract

We study the usefulness of coupled redundancy as a mechanism for reduction in local noise in coupled map lattices and investigate the role of network topology, coupling strength, and iteration number in this mechanism. Explicit numerical simulations to measure noise reduction in coupled units connected in different topologies such as ring, star, small-world, random, and grid networks have been carried out. We study both symmetric and asymmetric networks. Linear stability analysis is presented to identify an optimal symmetric topology. The effect of rewiring is also investigated, and we find that dynamic links enhance the noise reduction capabilities.

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Acknowledgments

We gratefully acknowledge support from the Office of Naval Research under Grant No. N00014-12-1-0026 and STTR Grant No. N00014-14-C-0033.

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Authors and Affiliations

  1. Physics Department, North Carolina State University, Raleigh, NC, 27695, USA

    Vivek Kohar, Sarvenaz Kia, Behnam Kia & William L. Ditto

  2. Physics Department, The College of Wooster, Wooster, OH, 44691, USA

    John F. Lindner

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  1. Vivek Kohar
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  2. Sarvenaz Kia
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  3. Behnam Kia
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  4. John F. Lindner
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  5. William L. Ditto
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Correspondence to Vivek Kohar.

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Kohar, V., Kia, S., Kia, B. et al. Role of network topology in noise reduction using coupled dynamics. Nonlinear Dyn 84, 1805–1812 (2016). https://doi.org/10.1007/s11071-016-2607-6

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  • DOI: https://doi.org/10.1007/s11071-016-2607-6

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