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Effect of noise on chaos synchronization in time-delayed systems: Numerical and experimental observations

Author

Listed:
  • Ray, Anirban
  • Roy Chowdhury, A.
  • Ghosh, Dibakar

Abstract

We discuss the constructive role of noise (white and colored) in chaos synchronization in time-delayed systems. We first numerically investigate noise-induced synchronization (NIS) between two identical uncoupled Ikeda and Mackey–Glass systems. We find that synchronization occurs above a critical noise intensity that differs for different colors of noise. Synchronization onset is characterized by the value of the maximum transverse Lyapunov exponent. We then discuss the enhancement of chaos synchronization between two time-delayed systems when they are coupled unidirectionally. The effect of parameter mismatch for NIS is described in detail. We provide experimental evidence of NIS for a Mackey–Glass-like system in an electronic circuit using different colors of noise. An integration scheme for time-delayed systems in the presence of additive white and colored noise is discussed.

Suggested Citation

  • Ray, Anirban & Roy Chowdhury, A. & Ghosh, Dibakar, 2013. "Effect of noise on chaos synchronization in time-delayed systems: Numerical and experimental observations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4837-4849.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:20:p:4837-4849
    DOI: 10.1016/j.physa.2013.05.046
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    Cited by:

    1. Juan Carlos Jauregui-Correa & Carlos S. López-Cajun & Mihir Sen, 2017. "Determining the Coupling Source on a Set of Oscillators from Experimental Data," Complexity, Hindawi, vol. 2017, pages 1-10, May.
    2. Anwar, Md Sayeed & Kundu, Srilena & Ghosh, Dibakar, 2021. "Enhancing synchrony in asymmetrically weighted multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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