Novel equi-attractivity in large generalized non-linear partial differential equations were performed for the impulsive control of spatiotemporal chaotic. Attractive solutions of these general partial differential equations were determined. A proof for existence of a certain kind of impulses for synchronization such that the small error dynamics that is equi-attractive in the large is established. A comparative study between these general non-linear partial differential equations and the existent reported numerical theoretical models was developed. Several boundary conditions were given to confirm the theoretical results of the general non-linear partial differential equations. Moreover, the equations were applied to Kuramoto–Sivashinsky PDE′s equation; Grey–Scott models, and Lyapunov exponents for stabilization of the large chaotic systems with elimination of the dynamic error.
| 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.2017060501.15 |
| Page(s) | 30-39 |
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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 |
Synchronization, Impulsive Control, Prabolic Partial Differential Equations
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APA Style
Mahmoud M. El-Borai, Wagdy G. Elsayed, Turkiya Alhadi Aljamal. (2017). Synchronization and Impulsive Control of Some Parabolic Partial Differential Equations. American Journal of Theoretical and Applied Statistics, 6(5-1), 30-39. https://doi.org/10.11648/j.ajtas.s.2017060501.15
ACS Style
Mahmoud M. El-Borai; Wagdy G. Elsayed; Turkiya Alhadi Aljamal. Synchronization and Impulsive Control of Some Parabolic Partial Differential Equations. Am. J. Theor. Appl. Stat. 2017, 6(5-1), 30-39. doi: 10.11648/j.ajtas.s.2017060501.15
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Download@article{10.11648/j.ajtas.s.2017060501.15,
author = {Mahmoud M. El-Borai and Wagdy G. Elsayed and Turkiya Alhadi Aljamal},
title = {Synchronization and Impulsive Control of Some Parabolic Partial Differential Equations},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {6},
number = {5-1},
pages = {30-39},
doi = {10.11648/j.ajtas.s.2017060501.15},
url = {https://doi.org/10.11648/j.ajtas.s.2017060501.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.s.2017060501.15},
abstract = {Novel equi-attractivity in large generalized non-linear partial differential equations were performed for the impulsive control of spatiotemporal chaotic. Attractive solutions of these general partial differential equations were determined. A proof for existence of a certain kind of impulses for synchronization such that the small error dynamics that is equi-attractive in the large is established. A comparative study between these general non-linear partial differential equations and the existent reported numerical theoretical models was developed. Several boundary conditions were given to confirm the theoretical results of the general non-linear partial differential equations. Moreover, the equations were applied to Kuramoto–Sivashinsky PDE′s equation; Grey–Scott models, and Lyapunov exponents for stabilization of the large chaotic systems with elimination of the dynamic error.},
year = {2017}
}
TY - JOUR T1 - Synchronization and Impulsive Control of Some Parabolic Partial Differential Equations AU - Mahmoud M. El-Borai AU - Wagdy G. Elsayed AU - Turkiya Alhadi Aljamal Y1 - 2017/04/05 PY - 2017 N1 - https://doi.org/10.11648/j.ajtas.s.2017060501.15 DO - 10.11648/j.ajtas.s.2017060501.15 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 - 30 EP - 39 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.s.2017060501.15 AB - Novel equi-attractivity in large generalized non-linear partial differential equations were performed for the impulsive control of spatiotemporal chaotic. Attractive solutions of these general partial differential equations were determined. A proof for existence of a certain kind of impulses for synchronization such that the small error dynamics that is equi-attractive in the large is established. A comparative study between these general non-linear partial differential equations and the existent reported numerical theoretical models was developed. Several boundary conditions were given to confirm the theoretical results of the general non-linear partial differential equations. Moreover, the equations were applied to Kuramoto–Sivashinsky PDE′s equation; Grey–Scott models, and Lyapunov exponents for stabilization of the large chaotic systems with elimination of the dynamic error. VL - 6 IS - 5-1 ER -
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