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Peculiarities of generalized synchronization in unidirectionally and mutually coupled time-delayed systems

Author

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  • Moskalenko, Olga I.
  • Koronovskii, Alexey A.
  • Plotnikova, Anastasiya D.

Abstract

Generalized synchronization in unidirectionally and mutually coupled time-delayed systems has been studied. For the analysis of such regime the method for calculation of Lyapunov exponents and auxiliary system approach (for unidirectional coupling) have been used. The universal regularity for the dependence of the boundary of generalized synchronization on time delay has been revealed.

Suggested Citation

  • Moskalenko, Olga I. & Koronovskii, Alexey A. & Plotnikova, Anastasiya D., 2021. "Peculiarities of generalized synchronization in unidirectionally and mutually coupled time-delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003854
    DOI: 10.1016/j.chaos.2021.111031
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    References listed on IDEAS

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    1. Prokhorov, M.D. & Ponomarenko, V.I., 2008. "Encryption and decryption of information in chaotic communication systems governed by delay-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 871-877.
    2. 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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