Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium

The topics of memristive system and synchronization are two hot fields of research in nonlinear dynamics. In this paper, we introduce a memristor-based chaotic system with no equilibrium. It is found that the memristor-based system under investigation exhibits fruitful dynamic behaviors such as coex...

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Main Authors: Hong-Min Li, Yan-Feng Yang, Yang Zhou, Chun-Lai Li, Kun Qian, Zhao-Yu Li, Jian-Rong Du
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/4647608
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author Hong-Min Li
Yan-Feng Yang
Yang Zhou
Chun-Lai Li
Kun Qian
Zhao-Yu Li
Jian-Rong Du
author_facet Hong-Min Li
Yan-Feng Yang
Yang Zhou
Chun-Lai Li
Kun Qian
Zhao-Yu Li
Jian-Rong Du
author_sort Hong-Min Li
collection DOAJ
description The topics of memristive system and synchronization are two hot fields of research in nonlinear dynamics. In this paper, we introduce a memristor-based chaotic system with no equilibrium. It is found that the memristor-based system under investigation exhibits fruitful dynamic behaviors such as coexisting bifurcation, multistability, transient chaos, and transient quasiperiod. Thus, it is difficult to reproduce the accurate dynamics of the system, which is highly advantageous in encryption and communication. Then, a simple intermittent control scheme with adaptive mechanism is developed to achieve complete synchronization for the introduced system. Because the output signal is transmitted intermittently to the receiver system, more channel capacity can be saved and the security performance can be improved naturally in practical communication.
format Article
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institution Kabale University
issn 1076-2787
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language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-7562e66b49ec4b1cbef5545ba6cdf2bf2025-08-20T03:35:33ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/46476084647608Dynamics and Synchronization of a Memristor-Based Chaotic System with No EquilibriumHong-Min Li0Yan-Feng Yang1Yang Zhou2Chun-Lai Li3Kun Qian4Zhao-Yu Li5Jian-Rong Du6College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaCollege of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaCollege of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaCollege of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaCollege of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaCollege of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaCollege of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaThe topics of memristive system and synchronization are two hot fields of research in nonlinear dynamics. In this paper, we introduce a memristor-based chaotic system with no equilibrium. It is found that the memristor-based system under investigation exhibits fruitful dynamic behaviors such as coexisting bifurcation, multistability, transient chaos, and transient quasiperiod. Thus, it is difficult to reproduce the accurate dynamics of the system, which is highly advantageous in encryption and communication. Then, a simple intermittent control scheme with adaptive mechanism is developed to achieve complete synchronization for the introduced system. Because the output signal is transmitted intermittently to the receiver system, more channel capacity can be saved and the security performance can be improved naturally in practical communication.http://dx.doi.org/10.1155/2019/4647608
spellingShingle Hong-Min Li
Yan-Feng Yang
Yang Zhou
Chun-Lai Li
Kun Qian
Zhao-Yu Li
Jian-Rong Du
Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium
Complexity
title Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium
title_full Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium
title_fullStr Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium
title_full_unstemmed Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium
title_short Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium
title_sort dynamics and synchronization of a memristor based chaotic system with no equilibrium
url http://dx.doi.org/10.1155/2019/4647608
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