A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application

When revising the polarity and amplitude information in the feedback, a unique hypogenetic jerk system was obtained which has two controllers to switch the equilibria between stable and unstable. After providing some basic dynamical analysis, an electronic circuit was implemented, and the phase traj...

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Main Authors: Jiancheng Liu, Karthikeyan Rajagopal, Tengfei Lei, Sezgin Kaçar, Burak Arıcıoğlu, Ünal Çavuşoğlu, Abdullah Hulusi Kökçam, Anitha Karthikeyan
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/8083509
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spelling doaj-98e5305970f347b596fdfb4defcc221c2020-11-25T02:16:38ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/80835098083509A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its ApplicationJiancheng Liu0Karthikeyan Rajagopal1Tengfei Lei2Sezgin Kaçar3Burak Arıcıoğlu4Ünal Çavuşoğlu5Abdullah Hulusi Kökçam6Anitha Karthikeyan7Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology, Nanjing 210044, ChinaNonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, VietnamSchool of Mechanical and Electrical Engineering, Qilu Institute of Technology, Jinan 250200, ChinaDepartment of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, Serdivan, Sakarya, TurkeyDepartment of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, Serdivan, Sakarya, TurkeyDepartment of Computer Engineering, Faculty of Computer and Information Sciences, Sakarya University, Serdivan, Sakarya, TurkeyDepartment of Industrial Engineering, Faculty of Engineering, Sakarya University, Serdivan, Sakarya, TurkeyNonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, VietnamWhen revising the polarity and amplitude information in the feedback, a unique hypogenetic jerk system was obtained which has two controllers to switch the equilibria between stable and unstable. After providing some basic dynamical analysis, an electronic circuit was implemented, and the phase trajectory in the oscilloscope agrees with the numerical simulation. Further exploration shows that this unique chaotic system has superior performance as a random number generator or in voice encryption application.http://dx.doi.org/10.1155/2020/8083509
collection DOAJ
language English
format Article
sources DOAJ
author Jiancheng Liu
Karthikeyan Rajagopal
Tengfei Lei
Sezgin Kaçar
Burak Arıcıoğlu
Ünal Çavuşoğlu
Abdullah Hulusi Kökçam
Anitha Karthikeyan
spellingShingle Jiancheng Liu
Karthikeyan Rajagopal
Tengfei Lei
Sezgin Kaçar
Burak Arıcıoğlu
Ünal Çavuşoğlu
Abdullah Hulusi Kökçam
Anitha Karthikeyan
A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application
Mathematical Problems in Engineering
author_facet Jiancheng Liu
Karthikeyan Rajagopal
Tengfei Lei
Sezgin Kaçar
Burak Arıcıoğlu
Ünal Çavuşoğlu
Abdullah Hulusi Kökçam
Anitha Karthikeyan
author_sort Jiancheng Liu
title A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application
title_short A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application
title_full A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application
title_fullStr A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application
title_full_unstemmed A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application
title_sort novel hypogenetic chaotic jerk system: modeling, circuit implementation, and its application
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description When revising the polarity and amplitude information in the feedback, a unique hypogenetic jerk system was obtained which has two controllers to switch the equilibria between stable and unstable. After providing some basic dynamical analysis, an electronic circuit was implemented, and the phase trajectory in the oscilloscope agrees with the numerical simulation. Further exploration shows that this unique chaotic system has superior performance as a random number generator or in voice encryption application.
url http://dx.doi.org/10.1155/2020/8083509
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