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Time shifting chaotic signals using synchronization

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Abstract

In this paper we examine couplings that produce time-shifted synchronization. We find a surprising variety of time-shifted states can be attained without including an explicit time-delay term in the coupling. We characterize the observed synchronization by determining the dependence of the time shift and cross correlation between the drive and response oscillators on a tunable parameter. Our observations agree well with a recently introduced method for estimating the time shift and cross correlation using a transfer function.

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Authors and Affiliations

  1. U.S. Army RDECOM, AMSRD-AMR-WS-ST, Redstone Arsenal, AL, 35898, USA

    J. N. Blakely & N. J. Corron

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  1. J. N. Blakely
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  2. N. J. Corron
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Correspondence to J. N. Blakely.

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Blakely, J., Corron, N. Time shifting chaotic signals using synchronization. Eur. Phys. J. Spec. Top. 165, 111–117 (2008). https://doi.org/10.1140/epjst/e2008-00854-0

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