On Some Lag Synchronization and Higher Order Parabolic Systems

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

doi:doi:10.11648/j.ajtas.s.2017060501.14

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On Some Lag Synchronization and Higher Order Parabolic Systems

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

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

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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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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TY  - JOUR
T1  - On Some Lag Synchronization and Higher Order Parabolic Systems
AU  - Khairia El-Said El-Nadi
AU  - Wagdy G. Elsayed
AU  - Mabroka F. Bader
Y1  - 2017/03/20
PY  - 2017
N1  - https://doi.org/10.11648/j.ajtas.s.2017060501.14
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
SP  - 23
EP  - 29
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.s.2017060501.14
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

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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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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - On Some Lag Synchronization and Higher Order Parabolic Systems
AU  - Khairia El-Said El-Nadi
AU  - Wagdy G. Elsayed
AU  - Mabroka F. Bader
Y1  - 2017/03/20
PY  - 2017
N1  - https://doi.org/10.11648/j.ajtas.s.2017060501.14
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
SP  - 23
EP  - 29
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.s.2017060501.14
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  -

Copy | Download