American Journal of Theoretical and Applied Statistics

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A Generalization of Some Lag Synchronization of System with Parabolic Partial Differential Equation

Received: 27 January 2017    Accepted: 03 February 2017    Published: 18 February 2017
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Abstract

In this paper, we study generalized adaptive synchronization of Lorenz chaotic system with parabolic partial differential equation. Systems with three uncertain parameters and the non-linear adaptive feedback control technique are considered. Moreover, a systematic design process of parameters identification and Lag synchronization of chaotic system is considered. Finally, a sufficient condition is given for Lyapunov stability.

DOI 10.11648/j.ajtas.s.2017060501.12
Published in American Journal of Theoretical and Applied Statistics (Volume 6, Issue 5-1, September 2017)

This article belongs to the Special Issue Statistical Distributions and Modeling in Applied Mathematics

Page(s) 8-12
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Lag Synchronization, Parabolic Partial Differential Equation, Uncertain Parameters, Adaptive Technique, Lorenz Chaotic System

References
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Author Information
  • Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

  • Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

  • Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

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  • APA Style

    Mahmoud M. El-Borai, Wagdy G. El-sayed., Aafaf E. Abduelhafid. (2017). A Generalization of Some Lag Synchronization of System with Parabolic Partial Differential Equation. American Journal of Theoretical and Applied Statistics, 6(5-1), 8-12. https://doi.org/10.11648/j.ajtas.s.2017060501.12

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    ACS Style

    Mahmoud M. El-Borai; Wagdy G. El-sayed.; Aafaf E. Abduelhafid. A Generalization of Some Lag Synchronization of System with Parabolic Partial Differential Equation. Am. J. Theor. Appl. Stat. 2017, 6(5-1), 8-12. doi: 10.11648/j.ajtas.s.2017060501.12

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    AMA Style

    Mahmoud M. El-Borai, Wagdy G. El-sayed., Aafaf E. Abduelhafid. A Generalization of Some Lag Synchronization of System with Parabolic Partial Differential Equation. Am J Theor Appl Stat. 2017;6(5-1):8-12. doi: 10.11648/j.ajtas.s.2017060501.12

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  • @article{10.11648/j.ajtas.s.2017060501.12,
      author = {Mahmoud M. El-Borai and Wagdy G. El-sayed. and Aafaf E. Abduelhafid},
      title = {A Generalization of Some Lag Synchronization of System with Parabolic Partial Differential Equation},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {6},
      number = {5-1},
      pages = {8-12},
      doi = {10.11648/j.ajtas.s.2017060501.12},
      url = {https://doi.org/10.11648/j.ajtas.s.2017060501.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajtas.s.2017060501.12},
      abstract = {In this paper, we study generalized adaptive synchronization of Lorenz chaotic system with parabolic partial differential equation. Systems with three uncertain parameters and the non-linear adaptive feedback control technique are considered. Moreover, a systematic design process of parameters identification and Lag synchronization of chaotic system is considered. Finally, a sufficient condition is given for Lyapunov stability.},
     year = {2017}
    }
    

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    T1  - A Generalization of Some Lag Synchronization of System with Parabolic Partial Differential Equation
    AU  - Mahmoud M. El-Borai
    AU  - Wagdy G. El-sayed.
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    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
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    AB  - In this paper, we study generalized adaptive synchronization of Lorenz chaotic system with parabolic partial differential equation. Systems with three uncertain parameters and the non-linear adaptive feedback control technique are considered. Moreover, a systematic design process of parameters identification and Lag synchronization of chaotic system is considered. Finally, a sufficient condition is given for Lyapunov stability.
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