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Synchronizing time delay systems using variable delay in coupling

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  • Ambika, G.
  • Amritkar, R.E.

Abstract

We present a mechanism for synchronizing time delay systems using one way coupling with a variable delay in coupling that is reset at finite intervals. We present the analysis of the error dynamics that helps to isolate regions of stability of the synchronized state in the parameter space of interest for single and multiple delays. We supplement this by numerical simulations in a standard time delay system like Mackey Glass system. This method has the advantage that it can be adjusted to be delay or anticipatory in synchronization with a time which is independent of the system delay. We demonstrate the use of this method in communication using the bi channel scheme. We show that since the synchronizing channel carries information from transmitter only at intervals of reset time, it is not susceptible to an easy reconstruction.

Suggested Citation

  • Ambika, G. & Amritkar, R.E., 2011. "Synchronizing time delay systems using variable delay in coupling," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 1035-1042.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:11:p:1035-1042
    DOI: 10.1016/j.chaos.2011.08.007
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    Cited by:

    1. Ravi Kumar, R. & Chong, Kil To, 2012. "The stability of distributed neutral delay differential systems with Markovian switching," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 416-425.
    2. Nag, Mayurakshi & Poria, Swarup, 2016. "Synchronization in a network of delay coupled maps with stochastically switching topologies," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 9-16.

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