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Binary generalized synchronization

Author

Listed:
  • Koronovskii, Alexey A.
  • Moskalenko, Olga I.
  • Ponomarenko, Vladimir I.
  • Prokhorov, Mikhail D.
  • Hramov, Alexander E.

Abstract

In this paper we report for the first time on the binary generalized synchronization, when for the certain values of the coupling strength two unidirectionally coupled dynamical systems generating the aperiodic binary sequences are in the generalized synchronization regime. The presence of the binary generalized synchronization has been revealed with the help of both the auxiliary system approach and the largest conditional Lyapunov exponent calculation. The mechanism resulting in the binary generalized synchronization has been explained. The finding discussed in this paper gives a strong potential for new applications under many relevant circumstances.

Suggested Citation

  • Koronovskii, Alexey A. & Moskalenko, Olga I. & Ponomarenko, Vladimir I. & Prokhorov, Mikhail D. & Hramov, Alexander E., 2016. "Binary generalized synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 133-139.
    • Handle: RePEc:eee:chsofr:v:83:y:2016:i:c:p:133-139
    DOI: 10.1016/j.chaos.2015.11.045
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    References listed on IDEAS

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    1. O. Moskalenko & A. Hramov & A. Koronovskii & A. Ovchinnikov, 2011. "Effect of noise on generalized synchronization of chaos: theory and experiment," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 82(1), pages 69-82, July.
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    3. Koronovskii, Alexey A. & Moskalenko, Olga I. & Shurygina, Svetlana A. & Hramov, Alexander E., 2013. "Generalized synchronization in discrete maps. New point of view on weak and strong synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 46(C), pages 12-18.
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