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American Journal of Theoretical and Applied Statistics

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On Some Lag Synchronization and Higher Order Parabolic Systems

Khairia El-Said El-Nadi, Wagdy G. Elsayed, Mabroka F. Bader
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

DOI 10.11648/j.ajtas.s.2017060501.14
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) 23-29
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Keywords

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

References
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    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
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Author Information

  • Khairia El-Said El-Nadi

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

  • Wagdy G. Elsayed

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

  • Mabroka F. Bader

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

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