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A Deterministic Approach To The Synchronization Of Nonlinear Cellular Automata

Author

Listed:
  • J. DE ABREU

    (Laboratorio de Sistemas Complejos, Departamento de Física Aplicada, Facultad de Ingeniería, Universidad Central de Venezuela, Caracas, Venezuela)

  • P. GARCÍA

    (Facultad de Ingeniería en Ciencias Aplicadas, Universidad Técnica del Norte, Ibarra, Ecuador)

  • J. GARCÍA

    (Theoretical and Computational Nanoscience Group, Catalan Institute of Nanoscience and Nanotechnology, Barcelona, Spain)

Abstract

In this work, we introduce a deterministic scheme of synchronization of nonlinear cellular automata with chaotic behavior, connected through a master–slave coupling. By using a definition of Boolean derivative, we utilize the linear approximation of the cellular automata rules to design a deterministic and simple coupling function that ensures synchronization.Our results show that it is possible to synchronize nonlinear chaotic cellular automata using a deterministic coupling function that does not introduce into the slave all the information about the state of the master.

Suggested Citation

  • J. De Abreu & P. García & J. García, 2017. "A Deterministic Approach To The Synchronization Of Nonlinear Cellular Automata," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 20(04n05), pages 1-11, June.
    • Handle: RePEc:wsi:acsxxx:v:20:y:2017:i:04n05:n:s0219525917500060
    DOI: 10.1142/S0219525917500060
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    References listed on IDEAS

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    1. Shehzaad Kaka & Matthew R. Pufall & William H. Rippard & Thomas J. Silva & Stephen E. Russek & Jordan A. Katine, 2005. "Mutual phase-locking of microwave spin torque nano-oscillators," Nature, Nature, vol. 437(7057), pages 389-392, September.
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