Chaos synchronization in a BEC system using fuzzy logic controller
Since the presence of chaos in Bose-Einstein condensate (BEC) systems plays a destructive role that can undermine the stability of the condensates, controlling the chaos is of great importance for the creation of the BEC. In this paper, a fuzzy logic controller (FLC) to synchronize the chaotic dynam...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2022-09-01
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| Series: | Condensed Matter Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.5488/CMP.25.33501 |
| _version_ | 1817980615213973504 |
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| author | E. Tosyali Y. Oniz F. Aydogmus |
| author_facet | E. Tosyali Y. Oniz F. Aydogmus |
| author_sort | E. Tosyali |
| collection | DOAJ |
| description | Since the presence of chaos in Bose-Einstein condensate (BEC) systems plays a destructive role that can undermine the stability of the condensates, controlling the chaos is of great importance for the creation of the BEC. In this paper, a fuzzy logic controller (FLC) to synchronize the chaotic dynamics of two identical master-slave BEC systems has been proposed. Unlike the conventional approaches, where expert knowledge is directly used to construct the fuzzy rules and membership functions, the fuzzy rules have been constructed using Lyapunov stability theorem ensuring the synchronization process. The effectiveness of the proposed controller has been demonstrated numerically. |
| first_indexed | 2024-04-13T22:55:41Z |
| format | Article |
| id | doaj.art-4f275770d2b54315a88e3ae5cf1e5892 |
| institution | Directory Open Access Journal |
| issn | 1607-324X 2224-9079 |
| language | English |
| last_indexed | 2024-04-13T22:55:41Z |
| publishDate | 2022-09-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-4f275770d2b54315a88e3ae5cf1e58922022-12-22T02:26:01ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2224-90792022-09-012533350110.5488/CMP.25.33501Chaos synchronization in a BEC system using fuzzy logic controllerE. Tosyalihttps://orcid.org/0000-0001-9118-851XY. Onizhttps://orcid.org/0000-0002-8337-7852F. Aydogmushttps://orcid.org/0000-0003-1434-2143Since the presence of chaos in Bose-Einstein condensate (BEC) systems plays a destructive role that can undermine the stability of the condensates, controlling the chaos is of great importance for the creation of the BEC. In this paper, a fuzzy logic controller (FLC) to synchronize the chaotic dynamics of two identical master-slave BEC systems has been proposed. Unlike the conventional approaches, where expert knowledge is directly used to construct the fuzzy rules and membership functions, the fuzzy rules have been constructed using Lyapunov stability theorem ensuring the synchronization process. The effectiveness of the proposed controller has been demonstrated numerically.https://doi.org/10.5488/CMP.25.33501fuzzy logic controllersynchronizationchaosbose-einstein condensate |
| spellingShingle | E. Tosyali Y. Oniz F. Aydogmus Chaos synchronization in a BEC system using fuzzy logic controller Condensed Matter Physics fuzzy logic controller synchronization chaos bose-einstein condensate |
| title | Chaos synchronization in a BEC system using fuzzy logic controller |
| title_full | Chaos synchronization in a BEC system using fuzzy logic controller |
| title_fullStr | Chaos synchronization in a BEC system using fuzzy logic controller |
| title_full_unstemmed | Chaos synchronization in a BEC system using fuzzy logic controller |
| title_short | Chaos synchronization in a BEC system using fuzzy logic controller |
| title_sort | chaos synchronization in a bec system using fuzzy logic controller |
| topic | fuzzy logic controller synchronization chaos bose-einstein condensate |
| url | https://doi.org/10.5488/CMP.25.33501 |
| work_keys_str_mv | AT etosyali chaossynchronizationinabecsystemusingfuzzylogiccontroller AT yoniz chaossynchronizationinabecsystemusingfuzzylogiccontroller AT faydogmus chaossynchronizationinabecsystemusingfuzzylogiccontroller |