Robust synchronization of delay differential systems

Anirban Ray () and A. Roy Chowdhury ()
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Anirban Ray: High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta – 700032, India
A. Roy Chowdhury: High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta – 700032, India

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 03, 1-20

Abstract: The methodology of open-plus-close-loop (OPCL), which is up till now mainly used for the case of ordinary dynamical systems is extended for the first time to the case of delay dynamical process, to achieve complete, lag synchronization. Both the one and two way couplings are examined in detail, with the help of delay logistics, Ikeda and Mackey–Glass system. Robustness of the process is exhibited when the same analysis is done in presence of Gaussian noise. Influence of the strength of such a noise is shown. Our procedure opens up a potentially new approach for the synchronization study of delay dynamical systems.

Keywords: Synchronization; delay systems; robustness; noise; 05.45.Pq; 05.45.Ac; 05.45.-a (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183113501003

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