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On Some Lag Synchronization and Higher Order Parabolic Systems

Received: 7 March 2017     Accepted: 8 March 2017     Published: 20 March 2017
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Abstract

Chaos synchronization is a topic of great interest, due to its observation in a huge variety of phenomena of different nature. We study synchronization of two chaotic oscillators in a Master- Slave configuration. The two dynamic systems are coupled via a directed feedback that randomly switches among a finite set of given constant function at a prescribed time rate. And we use Lyapunov stability theory. This paper discussed the using of lag synchronization approach, and provided the equilibrium solutions of a new class of higher order parabolic partial differential equations to be applicable for Lorenz chaotic system in order to minimize the dynamical error of large Lorenz chaotic system

Published in American Journal of Theoretical and Applied Statistics (Volume 6, Issue 5-1)

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

DOI 10.11648/j.ajtas.s.2017060501.14
Page(s) 23-29
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), 2017. Published by Science Publishing Group

Keywords

Higher Order Parabolic Partial Differential Equations, Lag Synchronization, Adaptive Technique, Lorenz Chaotic System

References
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Cite This Article
  • APA Style

    Khairia El-Said El-Nadi, Wagdy G. Elsayed, Mabroka F. Bader. (2017). On Some Lag Synchronization and Higher Order Parabolic Systems. American Journal of Theoretical and Applied Statistics, 6(5-1), 23-29. https://doi.org/10.11648/j.ajtas.s.2017060501.14

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    ACS Style

    Khairia El-Said El-Nadi; Wagdy G. Elsayed; Mabroka F. Bader. On Some Lag Synchronization and Higher Order Parabolic Systems. Am. J. Theor. Appl. Stat. 2017, 6(5-1), 23-29. doi: 10.11648/j.ajtas.s.2017060501.14

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    AMA Style

    Khairia El-Said El-Nadi, Wagdy G. Elsayed, Mabroka F. Bader. On Some Lag Synchronization and Higher Order Parabolic Systems. Am J Theor Appl Stat. 2017;6(5-1):23-29. doi: 10.11648/j.ajtas.s.2017060501.14

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  • @article{10.11648/j.ajtas.s.2017060501.14,
      author = {Khairia El-Said El-Nadi and Wagdy G. Elsayed and Mabroka F. Bader},
      title = {On Some Lag Synchronization and Higher Order Parabolic Systems},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {6},
      number = {5-1},
      pages = {23-29},
      doi = {10.11648/j.ajtas.s.2017060501.14},
      url = {https://doi.org/10.11648/j.ajtas.s.2017060501.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.s.2017060501.14},
      abstract = {Chaos synchronization is a topic of great interest, due to its observation in a huge variety of phenomena of different nature. We study synchronization of two chaotic oscillators in a Master- Slave configuration. The two dynamic systems are coupled via a directed feedback that randomly switches among a finite set of given constant function at a prescribed time rate. And we use Lyapunov stability theory. This paper discussed the using of lag synchronization approach, and provided the equilibrium solutions of a new class of higher order parabolic partial differential equations to be applicable for Lorenz chaotic system in order to minimize the dynamical error of large Lorenz chaotic system},
     year = {2017}
    }
    

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    T1  - On Some Lag Synchronization and Higher Order Parabolic Systems
    AU  - Khairia El-Said El-Nadi
    AU  - Wagdy G. Elsayed
    AU  - Mabroka F. Bader
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    DO  - 10.11648/j.ajtas.s.2017060501.14
    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
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    AB  - Chaos synchronization is a topic of great interest, due to its observation in a huge variety of phenomena of different nature. We study synchronization of two chaotic oscillators in a Master- Slave configuration. The two dynamic systems are coupled via a directed feedback that randomly switches among a finite set of given constant function at a prescribed time rate. And we use Lyapunov stability theory. This paper discussed the using of lag synchronization approach, and provided the equilibrium solutions of a new class of higher order parabolic partial differential equations to be applicable for Lorenz chaotic system in order to minimize the dynamical error of large Lorenz chaotic system
    VL  - 6
    IS  - 5-1
    ER  - 

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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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