(m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delays
This article mainly focuses on exploring the pseudo periodic dynamics of a class of Clifford-valued high-order fuzzy cellular neural networks (FCNNs) using non decomposition methods. By utilizing fixed point theorems, inequality techniques, and contradiction methods, the existence and stability of p...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Franklin Open |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2773186325000052 |
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| _version_ | 1832595689871245312 |
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| author | Bing Li Ting Chen Yongkun Li |
| author_facet | Bing Li Ting Chen Yongkun Li |
| author_sort | Bing Li |
| collection | DOAJ |
| description | This article mainly focuses on exploring the pseudo periodic dynamics of a class of Clifford-valued high-order fuzzy cellular neural networks (FCNNs) using non decomposition methods. By utilizing fixed point theorems, inequality techniques, and contradiction methods, the existence and stability of pseudo periodic solutions for this type of neural network (NN) were obtained. When the system considered in this article degenerates into a real-valued NN, the results of this article are also new. At the same time, we used numerical examples to confirm the effectiveness of the results presented in this paper. |
| format | Article |
| id | doaj-art-73404b9ea2fd401d8da81f64a872acb6 |
| institution | Kabale University |
| issn | 2773-1863 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Franklin Open |
| spelling | doaj-art-73404b9ea2fd401d8da81f64a872acb62025-01-18T05:05:39ZengElsevierFranklin Open2773-18632025-03-0110100215(m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delaysBing Li0Ting Chen1Yongkun Li2School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, Yunnan 650500, ChinaSchool of Mathematics and Computer Science, Yunnan Minzu University, Kunming, Yunnan 650500, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, China; Corresponding author.This article mainly focuses on exploring the pseudo periodic dynamics of a class of Clifford-valued high-order fuzzy cellular neural networks (FCNNs) using non decomposition methods. By utilizing fixed point theorems, inequality techniques, and contradiction methods, the existence and stability of pseudo periodic solutions for this type of neural network (NN) were obtained. When the system considered in this article degenerates into a real-valued NN, the results of this article are also new. At the same time, we used numerical examples to confirm the effectiveness of the results presented in this paper.http://www.sciencedirect.com/science/article/pii/S2773186325000052Clifford-valued high-order fuzzy cellular neural networks(m1, m2)-pseudo almost periodic solutionTime delayGlobal exponential stability |
| spellingShingle | Bing Li Ting Chen Yongkun Li (m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delays Franklin Open Clifford-valued high-order fuzzy cellular neural networks (m1, m2)-pseudo almost periodic solution Time delay Global exponential stability |
| title | (m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delays |
| title_full | (m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delays |
| title_fullStr | (m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delays |
| title_full_unstemmed | (m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delays |
| title_short | (m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delays |
| title_sort | m1 m2 pseudo almost periodic solutions of clifford valued high order fuzzy cellular neural networks with time delays |
| topic | Clifford-valued high-order fuzzy cellular neural networks (m1, m2)-pseudo almost periodic solution Time delay Global exponential stability |
| url | http://www.sciencedirect.com/science/article/pii/S2773186325000052 |
| work_keys_str_mv | AT bingli m1m2pseudoalmostperiodicsolutionsofcliffordvaluedhighorderfuzzycellularneuralnetworkswithtimedelays AT tingchen m1m2pseudoalmostperiodicsolutionsofcliffordvaluedhighorderfuzzycellularneuralnetworkswithtimedelays AT yongkunli m1m2pseudoalmostperiodicsolutionsofcliffordvaluedhighorderfuzzycellularneuralnetworkswithtimedelays |