On Some Lag Synchronization and Higher Order Parabolic Systems
American Journal of Theoretical and Applied Statistics
Volume 6, Issue 5-1, September 2017, Pages: 23-29
Received: Mar. 7, 2017; Accepted: Mar. 8, 2017; Published: Mar. 20, 2017
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Authors
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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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
Keywords
Higher Order Parabolic Partial Differential Equations, Lag Synchronization, Adaptive Technique, Lorenz Chaotic System
To cite this article
Khairia El-Said El-Nadi, Wagdy G. Elsayed, Mabroka F. Bader, On Some Lag Synchronization and Higher Order Parabolic Systems, American Journal of Theoretical and Applied Statistics. Special Issue: Statistical Distributions and Modeling in Applied Mathematics. Vol. 6, No. 5-1, 2017, pp. 23-29. doi: 10.11648/j.ajtas.s.2017060501.14
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Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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