The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders

This paper is concerned with the co-existence of different synchronization types for fractional-order discrete-time chaotic systems with different dimensions. In particular, we show that through appropriate nonlinear control, projective synchronization (PS), full state hybrid projective synchronizat...

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Autores principales: Bendoukha, Samir, Ouannas, Adel, Wang, Xiong, Khennaoui, Amina-Aicha, Pham, Viet-Thanh, Grassi, Giuseppe, Huynh, Van Van
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513236/
https://www.ncbi.nlm.nih.gov/pubmed/33265799
http://dx.doi.org/10.3390/e20090710
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author Bendoukha, Samir
Ouannas, Adel
Wang, Xiong
Khennaoui, Amina-Aicha
Pham, Viet-Thanh
Grassi, Giuseppe
Huynh, Van Van
author_facet Bendoukha, Samir
Ouannas, Adel
Wang, Xiong
Khennaoui, Amina-Aicha
Pham, Viet-Thanh
Grassi, Giuseppe
Huynh, Van Van
author_sort Bendoukha, Samir
collection PubMed
description This paper is concerned with the co-existence of different synchronization types for fractional-order discrete-time chaotic systems with different dimensions. In particular, we show that through appropriate nonlinear control, projective synchronization (PS), full state hybrid projective synchronization (FSHPS), and generalized synchronization (GS) can be achieved simultaneously. A second nonlinear control scheme is developed whereby inverse full state hybrid projective synchronization (IFSHPS) and inverse generalized synchronization (IGS) are shown to co-exist. Numerical examples are presented to confirm the findings.
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spelling pubmed-75132362020-11-09 The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders Bendoukha, Samir Ouannas, Adel Wang, Xiong Khennaoui, Amina-Aicha Pham, Viet-Thanh Grassi, Giuseppe Huynh, Van Van Entropy (Basel) Article This paper is concerned with the co-existence of different synchronization types for fractional-order discrete-time chaotic systems with different dimensions. In particular, we show that through appropriate nonlinear control, projective synchronization (PS), full state hybrid projective synchronization (FSHPS), and generalized synchronization (GS) can be achieved simultaneously. A second nonlinear control scheme is developed whereby inverse full state hybrid projective synchronization (IFSHPS) and inverse generalized synchronization (IGS) are shown to co-exist. Numerical examples are presented to confirm the findings. MDPI 2018-09-14 /pmc/articles/PMC7513236/ /pubmed/33265799 http://dx.doi.org/10.3390/e20090710 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Bendoukha, Samir
Ouannas, Adel
Wang, Xiong
Khennaoui, Amina-Aicha
Pham, Viet-Thanh
Grassi, Giuseppe
Huynh, Van Van
The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders
title The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders
title_full The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders
title_fullStr The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders
title_full_unstemmed The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders
title_short The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders
title_sort co-existence of different synchronization types in fractional-order discrete-time chaotic systems with non–identical dimensions and orders
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513236/
https://www.ncbi.nlm.nih.gov/pubmed/33265799
http://dx.doi.org/10.3390/e20090710
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