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

  • 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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Author details:Dharmapuri Vijayan Senthilkumar, Jürgen KurthsORCiDGND
URL:http://www.springerlink.com/content/1951-6355
DOI:https://doi.org/10.1140/epjst/e2010-01273-4
ISSN:1951-6355
Publication type:Article
Language:English
Year of first publication:2010
Publication year:2010
Release date:2017/03/25
Source:European physical journal special topics. - ISSN 1951-6355. - 187 (2010), 1, S. 87 - 93
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
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