Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays
In this paper, we propose a class of octonion-valued neural networks with leakage delays and mixed delays. Considering that the multiplication of octonion algebras does not satisfy the associativity and commutativity, we can obtain the existence and global exponential stability of weighted pseudo al...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-04-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023760?viewType=HTML |
| _version_ | 1797837982493835264 |
|---|---|
| author | Jin Gao Lihua Dai |
| author_facet | Jin Gao Lihua Dai |
| author_sort | Jin Gao |
| collection | DOAJ |
| description | In this paper, we propose a class of octonion-valued neural networks with leakage delays and mixed delays. Considering that the multiplication of octonion algebras does not satisfy the associativity and commutativity, we can obtain the existence and global exponential stability of weighted pseudo almost periodic solutions for octonion-valued neural networks with leakage delays and mixed delays by using the Banach fixed point theorem, the proof by contradiction and the non-decomposition method. Finally, we will give one example to illustrate the feasibility and effectiveness of the main results. |
| first_indexed | 2024-04-09T15:34:36Z |
| format | Article |
| id | doaj.art-8af365fa5aa04f1a964703de0efff716 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T15:34:36Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8af365fa5aa04f1a964703de0efff7162023-04-28T01:41:07ZengAIMS PressAIMS Mathematics2473-69882023-04-0186148671489310.3934/math.2023760Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delaysJin Gao 0Lihua Dai11. School of Information, Yunnan Communications Vocational and Technical College, Kunming, Yunnan 650500, China2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaIn this paper, we propose a class of octonion-valued neural networks with leakage delays and mixed delays. Considering that the multiplication of octonion algebras does not satisfy the associativity and commutativity, we can obtain the existence and global exponential stability of weighted pseudo almost periodic solutions for octonion-valued neural networks with leakage delays and mixed delays by using the Banach fixed point theorem, the proof by contradiction and the non-decomposition method. Finally, we will give one example to illustrate the feasibility and effectiveness of the main results.https://www.aimspress.com/article/doi/10.3934/math.2023760?viewType=HTMLoctonion algebraneural networksstabilityweighted pseudo almost periodic solutionsdelays |
| spellingShingle | Jin Gao Lihua Dai Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays AIMS Mathematics octonion algebra neural networks stability weighted pseudo almost periodic solutions delays |
| title | Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays |
| title_full | Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays |
| title_fullStr | Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays |
| title_full_unstemmed | Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays |
| title_short | Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays |
| title_sort | weighted pseudo almost periodic solutions of octonion valued neural networks with mixed time varying delays and leakage delays |
| topic | octonion algebra neural networks stability weighted pseudo almost periodic solutions delays |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023760?viewType=HTML |
| work_keys_str_mv | AT jingao weightedpseudoalmostperiodicsolutionsofoctonionvaluedneuralnetworkswithmixedtimevaryingdelaysandleakagedelays AT lihuadai weightedpseudoalmostperiodicsolutionsofoctonionvaluedneuralnetworkswithmixedtimevaryingdelaysandleakagedelays |