Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators

An interesting alternate attractor chimeralike state can self-organize to emerge on rings of chaotic Lorenz-type oscillators. The local dynamics of any two neighboring oscillators can spontaneously change from the chaotic butterfly-like attractors to the two symmetric and converse ones, which forms...

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Main Authors: Hao Zhang, Zhili Chen, Fei Liu, Zhao Lei, Zhigang Zheng, Yu Qian
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ad2411
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author Hao Zhang
Zhili Chen
Fei Liu
Zhao Lei
Zhigang Zheng
Yu Qian
author_facet Hao Zhang
Zhili Chen
Fei Liu
Zhao Lei
Zhigang Zheng
Yu Qian
author_sort Hao Zhang
collection DOAJ
description An interesting alternate attractor chimeralike state can self-organize to emerge on rings of chaotic Lorenz-type oscillators. The local dynamics of any two neighboring oscillators can spontaneously change from the chaotic butterfly-like attractors to the two symmetric and converse ones, which forms alternate attractors on the ring. This is distinctly different from the traditional chimera states with unique local attractor. An effective driven-oscillator approach is proposed to reveal the mechanism in forming this new oscillation mode and predict the critical coupling strengths for the emergence of the new oscillation mode. The existence of a pair of converse focus solutions with respect to the external drive is found to be the key factor responsible for the alternate attractor chimeralike state . The linear feedback control scheme is introduced to control the suppression and reproduction of alternate attractor chimeralike state . These findings may shed light on a new perspective of the studies and applications of chimera dynamics in complex systems.
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spelling doaj.art-86be57e909774a69814ecad3b225a8802024-02-09T09:32:35ZengIOP PublishingNew Journal of Physics1367-26302024-01-0126202301610.1088/1367-2630/ad2411Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillatorsHao Zhang0Zhili Chen1Fei Liu2Zhao Lei3Zhigang Zheng4https://orcid.org/0000-0002-1421-0442Yu Qian5College of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences , Baoji 721007, People’s Republic of ChinaCollege of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences , Baoji 721007, People’s Republic of ChinaCollege of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences , Baoji 721007, People’s Republic of ChinaCollege of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences , Baoji 721007, People’s Republic of ChinaInstitute of Systems Science, Huaqiao University , Xiamen 361021, People’s Republic of China; College of Information Science and Engineering, Huaqiao University , Xiamen 361021, People’s Republic of China; School of Mathematical Sciences, Huaqiao University , Quanzhou 362021, People’s Republic of ChinaCollege of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences , Baoji 721007, People’s Republic of ChinaAn interesting alternate attractor chimeralike state can self-organize to emerge on rings of chaotic Lorenz-type oscillators. The local dynamics of any two neighboring oscillators can spontaneously change from the chaotic butterfly-like attractors to the two symmetric and converse ones, which forms alternate attractors on the ring. This is distinctly different from the traditional chimera states with unique local attractor. An effective driven-oscillator approach is proposed to reveal the mechanism in forming this new oscillation mode and predict the critical coupling strengths for the emergence of the new oscillation mode. The existence of a pair of converse focus solutions with respect to the external drive is found to be the key factor responsible for the alternate attractor chimeralike state . The linear feedback control scheme is introduced to control the suppression and reproduction of alternate attractor chimeralike state . These findings may shed light on a new perspective of the studies and applications of chimera dynamics in complex systems.https://doi.org/10.1088/1367-2630/ad2411chimeralike stateLorenz-type oscillatorchaotic collective behavior
spellingShingle Hao Zhang
Zhili Chen
Fei Liu
Zhao Lei
Zhigang Zheng
Yu Qian
Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators
New Journal of Physics
chimeralike state
Lorenz-type oscillator
chaotic collective behavior
title Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators
title_full Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators
title_fullStr Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators
title_full_unstemmed Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators
title_short Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators
title_sort alternate attractor chimeralike states on rings of chaotic lorenz type oscillators
topic chimeralike state
Lorenz-type oscillator
chaotic collective behavior
url https://doi.org/10.1088/1367-2630/ad2411
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