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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Format: | Article |
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IOP Publishing
2024-01-01
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Series: | New Journal of Physics |
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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. |
first_indexed | 2024-03-08T04:03:44Z |
format | Article |
id | doaj.art-86be57e909774a69814ecad3b225a880 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-08T04:03:44Z |
publishDate | 2024-01-01 |
publisher | IOP Publishing |
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series | New Journal of Physics |
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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