A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors

A chaotic system with a hyperbolic function flux-controlled memristor is designed, which exhibits conditional symmetry and attractor growing. The newly introduced cosine function keeps the polarity balance when some of the variables get polarity inversed and correspondingly conditional symmetric coe...

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Main Authors: Jiacheng Gu, Chunbiao Li, Yudi Chen, Herbert H. C. Iu, Tengfei Lei
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8957042/
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spelling doaj-55f21d80b27f45f7b792675b461fc1a02021-03-30T03:03:55ZengIEEEIEEE Access2169-35362020-01-018123941240110.1109/ACCESS.2020.29660858957042A Conditional Symmetric Memristive System With Infinitely Many Chaotic AttractorsJiacheng Gu0https://orcid.org/0000-0002-7836-3800Chunbiao Li1https://orcid.org/0000-0002-9932-0914Yudi Chen2https://orcid.org/0000-0002-4714-2036Herbert H. C. Iu3https://orcid.org/0000-0002-0687-4038Tengfei Lei4https://orcid.org/0000-0001-5243-1046Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing, ChinaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing, ChinaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing, ChinaSchool of Electrical, Electronic, and Computing Engineering, The University of Western Australia, Crawley, WA, AustraliaCollaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan, ChinaA chaotic system with a hyperbolic function flux-controlled memristor is designed, which exhibits conditional symmetry and attractor growing. The newly introduced cosine function keeps the polarity balance when some of the variables get polarity inversed and correspondingly conditional symmetric coexisting chaotic attractors are coined. Due to the periodicity of the cosine function, the memristive system with infinitely many coexisting attractors shows attractor growing in some special circumstances. Analog circuit experiment proves the theoretical and numerical analysis.https://ieeexplore.ieee.org/document/8957042/Attractor growingconditional symmetryhyperbolic functionoffset boosting
collection DOAJ
language English
format Article
sources DOAJ
author Jiacheng Gu
Chunbiao Li
Yudi Chen
Herbert H. C. Iu
Tengfei Lei
spellingShingle Jiacheng Gu
Chunbiao Li
Yudi Chen
Herbert H. C. Iu
Tengfei Lei
A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors
IEEE Access
Attractor growing
conditional symmetry
hyperbolic function
offset boosting
author_facet Jiacheng Gu
Chunbiao Li
Yudi Chen
Herbert H. C. Iu
Tengfei Lei
author_sort Jiacheng Gu
title A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors
title_short A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors
title_full A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors
title_fullStr A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors
title_full_unstemmed A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors
title_sort conditional symmetric memristive system with infinitely many chaotic attractors
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2020-01-01
description A chaotic system with a hyperbolic function flux-controlled memristor is designed, which exhibits conditional symmetry and attractor growing. The newly introduced cosine function keeps the polarity balance when some of the variables get polarity inversed and correspondingly conditional symmetric coexisting chaotic attractors are coined. Due to the periodicity of the cosine function, the memristive system with infinitely many coexisting attractors shows attractor growing in some special circumstances. Analog circuit experiment proves the theoretical and numerical analysis.
topic Attractor growing
conditional symmetry
hyperbolic function
offset boosting
url https://ieeexplore.ieee.org/document/8957042/
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