A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network

An amplitude controllable hyperjerk system is constructed for chaos producing by introducing a nonlinear factor of memristor. In this case, the amplitude control is realized from a single coefficient in the memristor. The hyperjerk system has a line of equilibria and also shows extreme multistabilit...

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Main Authors: Ran Wang, Chunbiao Li, Serdar Çiçek, Karthikeyan Rajagopal, Xin Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6636813
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author Ran Wang
Chunbiao Li
Serdar Çiçek
Karthikeyan Rajagopal
Xin Zhang
author_facet Ran Wang
Chunbiao Li
Serdar Çiçek
Karthikeyan Rajagopal
Xin Zhang
author_sort Ran Wang
collection DOAJ
description An amplitude controllable hyperjerk system is constructed for chaos producing by introducing a nonlinear factor of memristor. In this case, the amplitude control is realized from a single coefficient in the memristor. The hyperjerk system has a line of equilibria and also shows extreme multistability indicated by the initial value-associated bifurcation diagram. FPGA-based circuit realization is also given for physical verification. Finally, the proposed memristive hyperjerk system is successfully predicted with artificial neural networks for AI based engineering applications.
format Article
id doaj-art-306a7a3b77044749a2a9271e0065991d
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-306a7a3b77044749a2a9271e0065991d2025-02-03T06:07:36ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66368136636813A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural NetworkRan Wang0Chunbiao Li1Serdar Çiçek2Karthikeyan Rajagopal3Xin Zhang4Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, ChinaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, ChinaDepartment of Electronic & Automation, Vocational School of Hacıbektaş, Nevşehir Hacı Bektaş Veli University, Hacıbektaş, Nevşehir 50800, TurkeyCenter for Nonlinear Systems, Chennai Institute of Technology, Chennai, IndiaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, ChinaAn amplitude controllable hyperjerk system is constructed for chaos producing by introducing a nonlinear factor of memristor. In this case, the amplitude control is realized from a single coefficient in the memristor. The hyperjerk system has a line of equilibria and also shows extreme multistability indicated by the initial value-associated bifurcation diagram. FPGA-based circuit realization is also given for physical verification. Finally, the proposed memristive hyperjerk system is successfully predicted with artificial neural networks for AI based engineering applications.http://dx.doi.org/10.1155/2021/6636813
spellingShingle Ran Wang
Chunbiao Li
Serdar Çiçek
Karthikeyan Rajagopal
Xin Zhang
A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network
Complexity
title A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network
title_full A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network
title_fullStr A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network
title_full_unstemmed A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network
title_short A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network
title_sort memristive hyperjerk chaotic system amplitude control fpga design and prediction with artificial neural network
url http://dx.doi.org/10.1155/2021/6636813
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