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Characteristics and synchronization of time-delay systems driven by a common noise

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Abstract

We investigate the characteristics of time-delay systems in the presence of Gaussian noise. We show that the delay time embedded in the time series of time-delay system with constant delay cannot be estimated in the presence noise for appropriate values of noise intensity thereby forbidding any possibility of phase space reconstruction. We also demonstrate the existence of complete synchronization between two independent identical time-delay systems driven by a common noise without explicitly establishing any external coupling between them.

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Authors and Affiliations

  1. Centre for Dynamics of Complex Systems, University of Potsdam, 14469, Potsdam, Germany

    D.V. Senthilkumar

  2. Potsdam Institute for Climate Impact Research, 14473, Potsdam, Germany

    D.V. Senthilkumar & J. Kurths

  3. Institute of Physics, Humboldt University, 12489, Berlin, Germany

    J. Kurths

Authors
  1. D.V. Senthilkumar
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  2. J. Kurths
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Correspondence to D.V. Senthilkumar or J. Kurths.

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Senthilkumar, D., Kurths, J. Characteristics and synchronization of time-delay systems driven by a common noise. Eur. Phys. J. Spec. Top. 187, 87–93 (2010). https://doi.org/10.1140/epjst/e2010-01273-4

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  • DOI: https://doi.org/10.1140/epjst/e2010-01273-4

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