Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit

Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit

In this paper, we modify the Sprott M chaotic system to provide infinitely many co-existing attractors by replacing the offset boosting parameter with a periodic function giving what we call a self-reproducing system. Consequently, a chaotic signal with either polarity can be obtained by selecting d...

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Main Authors: Chunbiao Li, Wesley Joo-Chen Thio, Julien Clinton Sprott, Herbert Ho-Ching Iu, Yujie Xu
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Field programmable analog array (FPAA)
infinitely many attractors
offset boosting
polarity control
Online Access:https://ieeexplore.ieee.org/document/8334234/
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spelling doaj-f00d5044c6c6410585056207d6f7a5612021-03-29T21:18:51ZengIEEEIEEE Access2169-35362018-01-016290032901210.1109/ACCESS.2018.28249848334234Constructing Infinitely Many Attractors in a Programmable Chaotic CircuitChunbiao Li0https://orcid.org/0000-0002-9932-0914Wesley Joo-Chen Thio1Julien Clinton Sprott2Herbert Ho-Ching Iu3Yujie Xu4Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing, ChinaDepartment of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USADepartment of Physics, University of Wisconsin–Madison, Madison, WI, USASchool of Electrical, Electronic, and Computing Engineering, The University of Western Australian, Crawley, WA, AustraliaJiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing, ChinaIn this paper, we modify the Sprott M chaotic system to provide infinitely many co-existing attractors by replacing the offset boosting parameter with a periodic function giving what we call a self-reproducing system. Consequently, a chaotic signal with either polarity can be obtained by selecting different initial conditions. Various periodic functions are introduced in the same offset-boostable system for producing coexisting attractors. We used a field programmable analog array to construct a programmable chaotic circuit, and the predicted attractors were observed on an oscilloscope.https://ieeexplore.ieee.org/document/8334234/Field programmable analog array (FPAA)infinitely many attractorsoffset boostingpolarity control
collection DOAJ
language English
format Article
sources DOAJ
author Chunbiao Li
Wesley Joo-Chen Thio
Julien Clinton Sprott
Herbert Ho-Ching Iu
Yujie Xu
spellingShingle Chunbiao Li
Wesley Joo-Chen Thio
Julien Clinton Sprott
Herbert Ho-Ching Iu
Yujie Xu
Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit
IEEE Access
Field programmable analog array (FPAA)
infinitely many attractors
offset boosting
polarity control
author_facet Chunbiao Li
Wesley Joo-Chen Thio
Julien Clinton Sprott
Herbert Ho-Ching Iu
Yujie Xu
author_sort Chunbiao Li
title Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit
title_short Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit
title_full Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit
title_fullStr Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit
title_full_unstemmed Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit
title_sort constructing infinitely many attractors in a programmable chaotic circuit
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2018-01-01
description In this paper, we modify the Sprott M chaotic system to provide infinitely many co-existing attractors by replacing the offset boosting parameter with a periodic function giving what we call a self-reproducing system. Consequently, a chaotic signal with either polarity can be obtained by selecting different initial conditions. Various periodic functions are introduced in the same offset-boostable system for producing coexisting attractors. We used a field programmable analog array to construct a programmable chaotic circuit, and the predicted attractors were observed on an oscilloscope.
topic Field programmable analog array (FPAA)
infinitely many attractors
offset boosting
polarity control
url https://ieeexplore.ieee.org/document/8334234/
work_keys_str_mv AT chunbiaoli constructinginfinitelymanyattractorsinaprogrammablechaoticcircuit
AT wesleyjoochenthio constructinginfinitelymanyattractorsinaprogrammablechaoticcircuit
AT julienclintonsprott constructinginfinitelymanyattractorsinaprogrammablechaoticcircuit
AT herberthochingiu constructinginfinitelymanyattractorsinaprogrammablechaoticcircuit
AT yujiexu constructinginfinitelymanyattractorsinaprogrammablechaoticcircuit
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