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Anticipation in the synchronization of chaotic time-delay systems

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  • Masoller, C

Abstract

We study numerically the synchronization of two time-delay chaotic systems, in a unidirectional coupling configuration. The coupling is delayed in time to represent the finite speed at which the information is transmitted from one system (master system) to the other (slave system). We simulate coupled Mackey–Glass and Ikeda systems. We show that, when the delay time of the systems, τ, is greater than the delay time of the coupling, τ2, for adequate parameters a regime of anticipated synchronization occurs. In this regime, the slave system at time t, synchronizes to the future state of the master system, at time t+τ−τ2, anticipating its chaotic evolution. Anticipation in the synchronization is not destroyed by small parameter differences between the systems, but in this case the systems are not perfectly synchronized.

Suggested Citation

  • Masoller, C, 2001. "Anticipation in the synchronization of chaotic time-delay systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 301-304.
    • Handle: RePEc:eee:phsmap:v:295:y:2001:i:1:p:301-304
    DOI: 10.1016/S0378-4371(01)00092-9
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    Cited by:

    1. Ge, Zheng-Ming & Lin, Guo-Hua, 2007. "The complete, lag and anticipated synchronization of a BLDCM chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 740-764.
    2. Shahnazi, Reza & Haghani, Adel & Jeinsch, Torsten, 2015. "Adaptive fuzzy observer-based stabilization of a class of uncertain time-delayed chaotic systems with actuator nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 98-110.
    3. Tang, Yinggan & Guan, Xinping, 2009. "Parameter estimation for time-delay chaotic system by particle swarm optimization," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1391-1398.

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