Hamilton Energy Control for the Chaotic System with Hidden Attractors
In this paper, the dynamic behavior and control of chaotic systems with hidden attractors are studied. Firstly, a class of autonomous chaotic systems without the equilibrium point is proposed. Secondly, quantitative analysis methods are applied to explore the dynamic behavior of the new chaotic syst...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5530557 |
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| _version_ | 1832548829805674496 |
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| author | Meibo Wang Shaojuan Ma |
| author_facet | Meibo Wang Shaojuan Ma |
| author_sort | Meibo Wang |
| collection | DOAJ |
| description | In this paper, the dynamic behavior and control of chaotic systems with hidden attractors are studied. Firstly, a class of autonomous chaotic systems without the equilibrium point is proposed. Secondly, quantitative analysis methods are applied to explore the dynamic behavior of the new chaotic systems. Then, the Hamilton energy function of the new system is calculated by the Helmholtz theorem and the energy feedback controller is designed. Finally, the effectiveness of the controller is verified by numerical simulations. Compared with the line feedback control, the control effect of Hamilton energy control is better. |
| format | Article |
| id | doaj-art-881156f52b5e429ca498f121e0650115 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-881156f52b5e429ca498f121e06501152025-02-03T06:12:56ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55305575530557Hamilton Energy Control for the Chaotic System with Hidden AttractorsMeibo Wang0Shaojuan Ma1School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, ChinaSchool of Mathematics and Information Science, North Minzu University, Yinchuan 750021, ChinaIn this paper, the dynamic behavior and control of chaotic systems with hidden attractors are studied. Firstly, a class of autonomous chaotic systems without the equilibrium point is proposed. Secondly, quantitative analysis methods are applied to explore the dynamic behavior of the new chaotic systems. Then, the Hamilton energy function of the new system is calculated by the Helmholtz theorem and the energy feedback controller is designed. Finally, the effectiveness of the controller is verified by numerical simulations. Compared with the line feedback control, the control effect of Hamilton energy control is better.http://dx.doi.org/10.1155/2021/5530557 |
| spellingShingle | Meibo Wang Shaojuan Ma Hamilton Energy Control for the Chaotic System with Hidden Attractors Complexity |
| title | Hamilton Energy Control for the Chaotic System with Hidden Attractors |
| title_full | Hamilton Energy Control for the Chaotic System with Hidden Attractors |
| title_fullStr | Hamilton Energy Control for the Chaotic System with Hidden Attractors |
| title_full_unstemmed | Hamilton Energy Control for the Chaotic System with Hidden Attractors |
| title_short | Hamilton Energy Control for the Chaotic System with Hidden Attractors |
| title_sort | hamilton energy control for the chaotic system with hidden attractors |
| url | http://dx.doi.org/10.1155/2021/5530557 |
| work_keys_str_mv | AT meibowang hamiltonenergycontrolforthechaoticsystemwithhiddenattractors AT shaojuanma hamiltonenergycontrolforthechaoticsystemwithhiddenattractors |