An Offset-Boostable Chaotic Oscillator with Broken Symmetry
A new 3D offset-boostable symmetric system is proposed by an absolute value function introduced. The system seems to be more fragile and easier to the state of broken symmetry. Coexisting symmetric pairs of attractors get closer and closer, and finally get emerged together. Basins of attraction show...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-09-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/9/1903 |
| _version_ | 1797481890460991488 |
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| author | Lili Huang Xin Zhang Hongyan Zang Tengfei Lei Haiyan Fu |
| author_facet | Lili Huang Xin Zhang Hongyan Zang Tengfei Lei Haiyan Fu |
| author_sort | Lili Huang |
| collection | DOAJ |
| description | A new 3D offset-boostable symmetric system is proposed by an absolute value function introduced. The system seems to be more fragile and easier to the state of broken symmetry. Coexisting symmetric pairs of attractors get closer and closer, and finally get emerged together. Basins of attraction show how these coexisting attractors are arranged in phase space. All these coexisting attractors can be easily offset boosted in phase space by a single constant when the initial condition is revised accordingly. PSpice simulations prove all the phenomena. |
| first_indexed | 2024-03-09T22:22:02Z |
| format | Article |
| id | doaj.art-48ba4c4b337143cc8e2ed7b2959260e6 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T22:22:02Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-48ba4c4b337143cc8e2ed7b2959260e62023-11-23T19:12:53ZengMDPI AGSymmetry2073-89942022-09-01149190310.3390/sym14091903An Offset-Boostable Chaotic Oscillator with Broken SymmetryLili Huang0Xin Zhang1Hongyan Zang2Tengfei Lei3Haiyan Fu4Collaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, ChinaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, ChinaCollaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, ChinaCollaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, ChinaCollaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, ChinaA new 3D offset-boostable symmetric system is proposed by an absolute value function introduced. The system seems to be more fragile and easier to the state of broken symmetry. Coexisting symmetric pairs of attractors get closer and closer, and finally get emerged together. Basins of attraction show how these coexisting attractors are arranged in phase space. All these coexisting attractors can be easily offset boosted in phase space by a single constant when the initial condition is revised accordingly. PSpice simulations prove all the phenomena.https://www.mdpi.com/2073-8994/14/9/1903multistabilityoffset boostingsymmetry breakingmerging |
| spellingShingle | Lili Huang Xin Zhang Hongyan Zang Tengfei Lei Haiyan Fu An Offset-Boostable Chaotic Oscillator with Broken Symmetry Symmetry multistability offset boosting symmetry breaking merging |
| title | An Offset-Boostable Chaotic Oscillator with Broken Symmetry |
| title_full | An Offset-Boostable Chaotic Oscillator with Broken Symmetry |
| title_fullStr | An Offset-Boostable Chaotic Oscillator with Broken Symmetry |
| title_full_unstemmed | An Offset-Boostable Chaotic Oscillator with Broken Symmetry |
| title_short | An Offset-Boostable Chaotic Oscillator with Broken Symmetry |
| title_sort | offset boostable chaotic oscillator with broken symmetry |
| topic | multistability offset boosting symmetry breaking merging |
| url | https://www.mdpi.com/2073-8994/14/9/1903 |
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