A Novel 2D – Grid of Scroll Chaotic Attractor Generated by CNN

The complex grid of scroll chaotic attractors that are generated through nonlinear electronic circuits have been raised considerably over the last decades. In this paper, it is shown that a subclass of Cellular Nonlinear Networks (CNNs) allows us to generate complex dynamics and chaos in symmetry pa...

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Main Authors: Ahmed M. Ali, Saif M. Ramadhan, Fadhil R. Tahir
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Symmetry
Subjects:
CNN
Online Access:http://www.mdpi.com/2073-8994/11/1/99
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spelling doaj-e52666e1a397428ba85c05bf1e0e8fd32020-11-24T23:06:12ZengMDPI AGSymmetry2073-89942019-01-011119910.3390/sym11010099sym11010099A Novel 2D – Grid of Scroll Chaotic Attractor Generated by CNNAhmed M. Ali0Saif M. Ramadhan1Fadhil R. Tahir2Department of Electrical Engineering, University of Basrah, 61002 Basrah, IraqDepartment of Electrical Engineering, University of Basrah, 61002 Basrah, IraqDepartment of Electrical Engineering, University of Basrah, 61002 Basrah, IraqThe complex grid of scroll chaotic attractors that are generated through nonlinear electronic circuits have been raised considerably over the last decades. In this paper, it is shown that a subclass of Cellular Nonlinear Networks (CNNs) allows us to generate complex dynamics and chaos in symmetry pattern. A novel grid of scroll chaotic attractor, based on a new system, shows symmetry scrolls about the origin. Also, the equilibrium points are located in a manner such that the symmetry about the line x=y has been achieved. The complex dynamics of system can be generated using CNNs, which in turn are derived from a CNN array (1×3) cells. The paper concerns on the design and implementation of 2×2 and 3×3 2D-grid of scroll via the CNN model. Theoretical analysis and numerical simulations of the derived model are included. The simulation results reveal that the grid of scroll attractors can be successfully reproduced using PSpice.http://www.mdpi.com/2073-8994/11/1/99chaosChua modelgrid of scrollCNNnonlinear circuits
collection DOAJ
language English
format Article
sources DOAJ
author Ahmed M. Ali
Saif M. Ramadhan
Fadhil R. Tahir
spellingShingle Ahmed M. Ali
Saif M. Ramadhan
Fadhil R. Tahir
A Novel 2D – Grid of Scroll Chaotic Attractor Generated by CNN
Symmetry
chaos
Chua model
grid of scroll
CNN
nonlinear circuits
author_facet Ahmed M. Ali
Saif M. Ramadhan
Fadhil R. Tahir
author_sort Ahmed M. Ali
title A Novel 2D – Grid of Scroll Chaotic Attractor Generated by CNN
title_short A Novel 2D – Grid of Scroll Chaotic Attractor Generated by CNN
title_full A Novel 2D – Grid of Scroll Chaotic Attractor Generated by CNN
title_fullStr A Novel 2D – Grid of Scroll Chaotic Attractor Generated by CNN
title_full_unstemmed A Novel 2D – Grid of Scroll Chaotic Attractor Generated by CNN
title_sort novel 2d – grid of scroll chaotic attractor generated by cnn
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2019-01-01
description The complex grid of scroll chaotic attractors that are generated through nonlinear electronic circuits have been raised considerably over the last decades. In this paper, it is shown that a subclass of Cellular Nonlinear Networks (CNNs) allows us to generate complex dynamics and chaos in symmetry pattern. A novel grid of scroll chaotic attractor, based on a new system, shows symmetry scrolls about the origin. Also, the equilibrium points are located in a manner such that the symmetry about the line x=y has been achieved. The complex dynamics of system can be generated using CNNs, which in turn are derived from a CNN array (1×3) cells. The paper concerns on the design and implementation of 2×2 and 3×3 2D-grid of scroll via the CNN model. Theoretical analysis and numerical simulations of the derived model are included. The simulation results reveal that the grid of scroll attractors can be successfully reproduced using PSpice.
topic chaos
Chua model
grid of scroll
CNN
nonlinear circuits
url http://www.mdpi.com/2073-8994/11/1/99
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