Study on Amplitude Modulation Principle of Chaotic System

Exploring the amplitude modulation phenomenon of chaotic signal has become a subject of great concern in recent years. This paper mainly concentrates on the preliminary study on amplitude modulation principle of a chaotic system. First, two 3D chaotic systems with quadratic product terms are introdu...

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Main Authors: Jian-Rong Du, Chun-Lai Li, Kun Qian, Zhao-Yu Li, Wen Li
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/9106132
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author Jian-Rong Du
Chun-Lai Li
Kun Qian
Zhao-Yu Li
Wen Li
author_facet Jian-Rong Du
Chun-Lai Li
Kun Qian
Zhao-Yu Li
Wen Li
author_sort Jian-Rong Du
collection DOAJ
description Exploring the amplitude modulation phenomenon of chaotic signal has become a subject of great concern in recent years. This paper mainly concentrates on the preliminary study on amplitude modulation principle of a chaotic system. First, two 3D chaotic systems with quadratic product terms are introduced for studying the amplitude modulation phenomenon of chaotic signal. It is found that the signal amplitude of the first system can be controlled by partial quadratic coefficient. But for the second system, none of nonlinear coefficient can be employed to control the signal amplitude. Then, the amplitude modulation principle of chaotic system is preliminarily studied by exploring the intrinsic relationship between nonzero equilibrium point and phase space trajectory, and it is further validated by introducing unified parameter to the two 3D chaotic systems. As a necessary condition, the principle provides a feasible and simple method for constructing and analyzing an amplitude modulation chaotic system.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-8c1f550fb26d401ba35bb2569c899ec12025-02-03T06:06:42ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/91061329106132Study on Amplitude Modulation Principle of Chaotic SystemJian-Rong Du0Chun-Lai Li1Kun Qian2Zhao-Yu Li3Wen Li4College 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, ChinaExploring the amplitude modulation phenomenon of chaotic signal has become a subject of great concern in recent years. This paper mainly concentrates on the preliminary study on amplitude modulation principle of a chaotic system. First, two 3D chaotic systems with quadratic product terms are introduced for studying the amplitude modulation phenomenon of chaotic signal. It is found that the signal amplitude of the first system can be controlled by partial quadratic coefficient. But for the second system, none of nonlinear coefficient can be employed to control the signal amplitude. Then, the amplitude modulation principle of chaotic system is preliminarily studied by exploring the intrinsic relationship between nonzero equilibrium point and phase space trajectory, and it is further validated by introducing unified parameter to the two 3D chaotic systems. As a necessary condition, the principle provides a feasible and simple method for constructing and analyzing an amplitude modulation chaotic system.http://dx.doi.org/10.1155/2020/9106132
spellingShingle Jian-Rong Du
Chun-Lai Li
Kun Qian
Zhao-Yu Li
Wen Li
Study on Amplitude Modulation Principle of Chaotic System
Complexity
title Study on Amplitude Modulation Principle of Chaotic System
title_full Study on Amplitude Modulation Principle of Chaotic System
title_fullStr Study on Amplitude Modulation Principle of Chaotic System
title_full_unstemmed Study on Amplitude Modulation Principle of Chaotic System
title_short Study on Amplitude Modulation Principle of Chaotic System
title_sort study on amplitude modulation principle of chaotic system
url http://dx.doi.org/10.1155/2020/9106132
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AT kunqian studyonamplitudemodulationprincipleofchaoticsystem
AT zhaoyuli studyonamplitudemodulationprincipleofchaoticsystem
AT wenli studyonamplitudemodulationprincipleofchaoticsystem