A Symmetric Controllable Hyperchaotic Hidden Attractor

A Symmetric Controllable Hyperchaotic Hidden Attractor

By introducing a simple feedback, a hyperchaotic hidden attractor is found in the newly proposed Lorenz-like chaotic system. Some variables of the equilibria-free system can be controlled in amplitude and offset by an independent knob. A circuit experiment based on Multisim is consistent with the th...

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Main Authors: Xin Zhang, Chunbiao Li, Tengfei Lei, Zuohua Liu, Changyuan Tao
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Symmetry
Subjects:
hidden attractor
amplitude control
offset boosting
Online Access:https://www.mdpi.com/2073-8994/12/4/550
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spelling doaj-87248cae30004fc7ad6c8ce42e3f323a2020-11-25T03:49:28ZengMDPI AGSymmetry2073-89942020-04-011255055010.3390/sym12040550A Symmetric Controllable Hyperchaotic Hidden AttractorXin Zhang0Chunbiao Li1Tengfei Lei2Zuohua Liu3Changyuan Tao4Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, ChinaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, ChinaCollaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, ChinaState Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, ChinaState Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, ChinaBy introducing a simple feedback, a hyperchaotic hidden attractor is found in the newly proposed Lorenz-like chaotic system. Some variables of the equilibria-free system can be controlled in amplitude and offset by an independent knob. A circuit experiment based on Multisim is consistent with the theoretic analysis and numerical simulation.https://www.mdpi.com/2073-8994/12/4/550hidden attractoramplitude controloffset boosting
collection DOAJ
language English
format Article
sources DOAJ
author Xin Zhang
Chunbiao Li
Tengfei Lei
Zuohua Liu
Changyuan Tao
spellingShingle Xin Zhang
Chunbiao Li
Tengfei Lei
Zuohua Liu
Changyuan Tao
A Symmetric Controllable Hyperchaotic Hidden Attractor
Symmetry
hidden attractor
amplitude control
offset boosting
author_facet Xin Zhang
Chunbiao Li
Tengfei Lei
Zuohua Liu
Changyuan Tao
author_sort Xin Zhang
title A Symmetric Controllable Hyperchaotic Hidden Attractor
title_short A Symmetric Controllable Hyperchaotic Hidden Attractor
title_full A Symmetric Controllable Hyperchaotic Hidden Attractor
title_fullStr A Symmetric Controllable Hyperchaotic Hidden Attractor
title_full_unstemmed A Symmetric Controllable Hyperchaotic Hidden Attractor
title_sort symmetric controllable hyperchaotic hidden attractor
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-04-01
description By introducing a simple feedback, a hyperchaotic hidden attractor is found in the newly proposed Lorenz-like chaotic system. Some variables of the equilibria-free system can be controlled in amplitude and offset by an independent knob. A circuit experiment based on Multisim is consistent with the theoretic analysis and numerical simulation.
topic hidden attractor
amplitude control
offset boosting
url https://www.mdpi.com/2073-8994/12/4/550
work_keys_str_mv AT xinzhang asymmetriccontrollablehyperchaotichiddenattractor
AT chunbiaoli asymmetriccontrollablehyperchaotichiddenattractor
AT tengfeilei asymmetriccontrollablehyperchaotichiddenattractor
AT zuohualiu asymmetriccontrollablehyperchaotichiddenattractor
AT changyuantao asymmetriccontrollablehyperchaotichiddenattractor
AT xinzhang symmetriccontrollablehyperchaotichiddenattractor
AT chunbiaoli symmetriccontrollablehyperchaotichiddenattractor
AT tengfeilei symmetriccontrollablehyperchaotichiddenattractor
AT zuohualiu symmetriccontrollablehyperchaotichiddenattractor
AT changyuantao symmetriccontrollablehyperchaotichiddenattractor
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