Three important phenomena of chaos synchronization are considered in this paper, In detailed, complete synchronization, anti- synchronization and hybrid synchronization based on the nonlinear active control approach between two different (non-identical) 4D hyperchaotic systems, i. e. Modified Pan and Liu are study herein. The Modified hyperchaotic Pan system is taken as drive system and hyperchaotic Liu system as response. Stabilization of error dynamics for each phenomenon is realized by satisfying two analytical approaches; Lyapunov's second method and linear system theory. Controllers are designed by using the relevant variable of drive and response systems. Theoretical analysis and numerical simulations are shown to verify the results.
| Published in | Mathematics Letters (Volume 2, Issue 5) |
| DOI | 10.11648/j.ml.20160205.12 |
| Page(s) | 36-41 |
| 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), 2016. Published by Science Publishing Group |
Chaos Synchronization, Complete Synchronization, Anti-synchronization, Hybrid Synchronization Nonlinear Dynamical Systems, Nonlinear Active Control
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APA Style
Maysoon M. Aziz, Saad Fawzi AL-Azzawi. (2016). Complete Synchronization, Anti-synchronization and Hybrid Synchronization Between Two Different 4D Nonlinear Dynamical Systems. Mathematics Letters, 2(5), 36-41. https://doi.org/10.11648/j.ml.20160205.12
ACS Style
Maysoon M. Aziz; Saad Fawzi AL-Azzawi. Complete Synchronization, Anti-synchronization and Hybrid Synchronization Between Two Different 4D Nonlinear Dynamical Systems. Math. Lett. 2016, 2(5), 36-41. doi: 10.11648/j.ml.20160205.12
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Download@article{10.11648/j.ml.20160205.12,
author = {Maysoon M. Aziz and Saad Fawzi AL-Azzawi},
title = {Complete Synchronization, Anti-synchronization and Hybrid Synchronization Between Two Different 4D Nonlinear Dynamical Systems},
journal = {Mathematics Letters},
volume = {2},
number = {5},
pages = {36-41},
doi = {10.11648/j.ml.20160205.12},
url = {https://doi.org/10.11648/j.ml.20160205.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20160205.12},
abstract = {Three important phenomena of chaos synchronization are considered in this paper, In detailed, complete synchronization, anti- synchronization and hybrid synchronization based on the nonlinear active control approach between two different (non-identical) 4D hyperchaotic systems, i. e. Modified Pan and Liu are study herein. The Modified hyperchaotic Pan system is taken as drive system and hyperchaotic Liu system as response. Stabilization of error dynamics for each phenomenon is realized by satisfying two analytical approaches; Lyapunov's second method and linear system theory. Controllers are designed by using the relevant variable of drive and response systems. Theoretical analysis and numerical simulations are shown to verify the results.},
year = {2016}
}
TY - JOUR T1 - Complete Synchronization, Anti-synchronization and Hybrid Synchronization Between Two Different 4D Nonlinear Dynamical Systems AU - Maysoon M. Aziz AU - Saad Fawzi AL-Azzawi Y1 - 2016/11/30 PY - 2016 N1 - https://doi.org/10.11648/j.ml.20160205.12 DO - 10.11648/j.ml.20160205.12 T2 - Mathematics Letters JF - Mathematics Letters JO - Mathematics Letters SP - 36 EP - 41 PB - Science Publishing Group SN - 2575-5056 UR - https://doi.org/10.11648/j.ml.20160205.12 AB - Three important phenomena of chaos synchronization are considered in this paper, In detailed, complete synchronization, anti- synchronization and hybrid synchronization based on the nonlinear active control approach between two different (non-identical) 4D hyperchaotic systems, i. e. Modified Pan and Liu are study herein. The Modified hyperchaotic Pan system is taken as drive system and hyperchaotic Liu system as response. Stabilization of error dynamics for each phenomenon is realized by satisfying two analytical approaches; Lyapunov's second method and linear system theory. Controllers are designed by using the relevant variable of drive and response systems. Theoretical analysis and numerical simulations are shown to verify the results. VL - 2 IS - 5 ER -
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