Research on Information Identification of Chaotic Map with Multi-Stability
Influenced by the rapid development of artificial intelligence, the identification of chaotic systems with intelligent optimization algorithms has received widespread attention in recent years. This paper focuses on the intelligent information identification of chaotic maps with multi-stability prop...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/11/811 |
| _version_ | 1797459286548283392 |
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| author | You Li Yuexi Peng |
| author_facet | You Li Yuexi Peng |
| author_sort | You Li |
| collection | DOAJ |
| description | Influenced by the rapid development of artificial intelligence, the identification of chaotic systems with intelligent optimization algorithms has received widespread attention in recent years. This paper focuses on the intelligent information identification of chaotic maps with multi-stability properties, and an improved sparrow search algorithm is proposed as the identification algorithm. Numerical simulations show that different initial values can lead to the same dynamic behavior, making it impossible to stably and accurately identify the initial values of multi-stability chaotic maps. An identification scheme without considering the initial values is proposed for solving this problem, and simulations demonstrate that the proposed method has the highest identification precision among seven existing intelligent algorithms and a certain degree of noise resistance. In addition, the above research reveals that chaotic systems with multi-stability may have more potential applications in fields such as secure communication. |
| first_indexed | 2024-03-09T16:49:17Z |
| format | Article |
| id | doaj.art-d01615c6ad0c457db212fe4e90762259 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T16:49:17Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-d01615c6ad0c457db212fe4e907622592023-11-24T14:43:03ZengMDPI AGFractal and Fractional2504-31102023-11-0171181110.3390/fractalfract7110811Research on Information Identification of Chaotic Map with Multi-StabilityYou Li0Yuexi Peng1Development and Planning Department, Hunan Sports Vocational College, Changsha 410019, ChinaKey Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, Xiangtan 411105, ChinaInfluenced by the rapid development of artificial intelligence, the identification of chaotic systems with intelligent optimization algorithms has received widespread attention in recent years. This paper focuses on the intelligent information identification of chaotic maps with multi-stability properties, and an improved sparrow search algorithm is proposed as the identification algorithm. Numerical simulations show that different initial values can lead to the same dynamic behavior, making it impossible to stably and accurately identify the initial values of multi-stability chaotic maps. An identification scheme without considering the initial values is proposed for solving this problem, and simulations demonstrate that the proposed method has the highest identification precision among seven existing intelligent algorithms and a certain degree of noise resistance. In addition, the above research reveals that chaotic systems with multi-stability may have more potential applications in fields such as secure communication.https://www.mdpi.com/2504-3110/7/11/811identificationchaotic mapsparrow search algorithmmulti-stabilityinitial value |
| spellingShingle | You Li Yuexi Peng Research on Information Identification of Chaotic Map with Multi-Stability Fractal and Fractional identification chaotic map sparrow search algorithm multi-stability initial value |
| title | Research on Information Identification of Chaotic Map with Multi-Stability |
| title_full | Research on Information Identification of Chaotic Map with Multi-Stability |
| title_fullStr | Research on Information Identification of Chaotic Map with Multi-Stability |
| title_full_unstemmed | Research on Information Identification of Chaotic Map with Multi-Stability |
| title_short | Research on Information Identification of Chaotic Map with Multi-Stability |
| title_sort | research on information identification of chaotic map with multi stability |
| topic | identification chaotic map sparrow search algorithm multi-stability initial value |
| url | https://www.mdpi.com/2504-3110/7/11/811 |
| work_keys_str_mv | AT youli researchoninformationidentificationofchaoticmapwithmultistability AT yuexipeng researchoninformationidentificationofchaoticmapwithmultistability |