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Complex synchronization manifold in coupled time-delayed systems

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  • Hoang, Thang Manh

Abstract

In the present paper, the complex synchronization manifold generated in coupled multiple time delay systems is demonstrated for the first time. There, the manifold is in the form of sum of multiple simple manifolds. The structure of master is identical to that of slave. The equation for driving signal is the sum of nonlinearly transformed components of delayed state variable. The specific examples will demonstrate and verify the effectiveness of the proposed model.

Suggested Citation

  • Hoang, Thang Manh, 2011. "Complex synchronization manifold in coupled time-delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 48-57.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:1:p:48-57
    DOI: 10.1016/j.chaos.2010.11.004
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    1. Shahverdiev, E.M. & Nuriev, R.A. & Hashimov, R.H. & Shore, K.A., 2006. "Chaos synchronization between the Mackey–Glass systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 854-861.
    2. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    3. Hoang, Thang Manh, 2009. "Transition among synchronous schemes in coupled nonidentical multiple time delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 938-950.
    4. Shahverdiev, E.M. & Nuriev, R.A. & Hashimov, R.H. & Shore, K.A., 2005. "Parameter mismatches, variable delay times and synchronization in time-delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 325-331.
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