A 2D Hyperchaotic Map: Amplitude Control, Coexisting Symmetrical Attractors and Circuit Implementation
An absolute value function was introduced for chaos construction, where hyperchaotic oscillation was found with amplitude rescaling. The nonlinear absolute term brings the convenience for amplitude control. Two regimes of amplitude control including total and partial amplitude control are discussed,...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/6/1047 |
| _version_ | 1797530645998600192 |
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| author | Xuejiao Zhou Chunbiao Li Xu Lu Tengfei Lei Yibo Zhao |
| author_facet | Xuejiao Zhou Chunbiao Li Xu Lu Tengfei Lei Yibo Zhao |
| author_sort | Xuejiao Zhou |
| collection | DOAJ |
| description | An absolute value function was introduced for chaos construction, where hyperchaotic oscillation was found with amplitude rescaling. The nonlinear absolute term brings the convenience for amplitude control. Two regimes of amplitude control including total and partial amplitude control are discussed, where the attractor can be rescaled separately by two independent coefficients. Symmetrical pairs of coexisting attractors are captured by corresponding initial conditions. Circuit implementation by the platform STM32 is consistent with the numerical exploration and the theoretical observation. This finding is helpful for promoting discrete map application, where amplitude control is realized in an easy way and coexisting symmetrical sequences with opposite polarity are obtained. |
| first_indexed | 2024-03-10T10:32:58Z |
| format | Article |
| id | doaj.art-28729c43928245eb910f8ff3ac82bbab |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T10:32:58Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-28729c43928245eb910f8ff3ac82bbab2023-11-21T23:30:39ZengMDPI AGSymmetry2073-89942021-06-01136104710.3390/sym13061047A 2D Hyperchaotic Map: Amplitude Control, Coexisting Symmetrical Attractors and Circuit ImplementationXuejiao Zhou0Chunbiao Li1Xu Lu2Tengfei Lei3Yibo Zhao4Jiangsu 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, 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, ChinaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, ChinaAn absolute value function was introduced for chaos construction, where hyperchaotic oscillation was found with amplitude rescaling. The nonlinear absolute term brings the convenience for amplitude control. Two regimes of amplitude control including total and partial amplitude control are discussed, where the attractor can be rescaled separately by two independent coefficients. Symmetrical pairs of coexisting attractors are captured by corresponding initial conditions. Circuit implementation by the platform STM32 is consistent with the numerical exploration and the theoretical observation. This finding is helpful for promoting discrete map application, where amplitude control is realized in an easy way and coexisting symmetrical sequences with opposite polarity are obtained.https://www.mdpi.com/2073-8994/13/6/1047amplitude controlcoexisting symmetric attractorshyperchaotic map |
| spellingShingle | Xuejiao Zhou Chunbiao Li Xu Lu Tengfei Lei Yibo Zhao A 2D Hyperchaotic Map: Amplitude Control, Coexisting Symmetrical Attractors and Circuit Implementation Symmetry amplitude control coexisting symmetric attractors hyperchaotic map |
| title | A 2D Hyperchaotic Map: Amplitude Control, Coexisting Symmetrical Attractors and Circuit Implementation |
| title_full | A 2D Hyperchaotic Map: Amplitude Control, Coexisting Symmetrical Attractors and Circuit Implementation |
| title_fullStr | A 2D Hyperchaotic Map: Amplitude Control, Coexisting Symmetrical Attractors and Circuit Implementation |
| title_full_unstemmed | A 2D Hyperchaotic Map: Amplitude Control, Coexisting Symmetrical Attractors and Circuit Implementation |
| title_short | A 2D Hyperchaotic Map: Amplitude Control, Coexisting Symmetrical Attractors and Circuit Implementation |
| title_sort | 2d hyperchaotic map amplitude control coexisting symmetrical attractors and circuit implementation |
| topic | amplitude control coexisting symmetric attractors hyperchaotic map |
| url | https://www.mdpi.com/2073-8994/13/6/1047 |
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