In Search of Chaos in Genetic Systems
A three-dimensional multiparametric system of ordinary differential equations, arising in the theory of genetic networks, is considered. The examples of chaotic behavior are constructed using the methodology by Shilnikov. This methodology requires the existence of a saddle-focus points satisfying so...
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| Format: | Article |
| Language: | English |
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Akif AKGUL
2024-03-01
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| Series: | Chaos Theory and Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/3493213 |
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| _version_ | 1832590419956858880 |
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| author | Felix Sadyrbaev Olga Kozlovska |
| author_facet | Felix Sadyrbaev Olga Kozlovska |
| author_sort | Felix Sadyrbaev |
| collection | DOAJ |
| description | A three-dimensional multiparametric system of ordinary differential equations, arising in the theory of genetic networks, is considered. The examples of chaotic behavior are constructed using the methodology by Shilnikov. This methodology requires the existence of a saddle-focus points satisfying some additional conditions. As the result, reach dynamical behavior of solutions can be observed, including chaotic behavior of solutions. |
| format | Article |
| id | doaj-art-b94360395e7a434291540e378d5d6c45 |
| institution | Kabale University |
| issn | 2687-4539 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj-art-b94360395e7a434291540e378d5d6c452025-01-23T18:20:09ZengAkif AKGULChaos Theory and Applications2687-45392024-03-0161131810.51537/chaos.13804191971In Search of Chaos in Genetic SystemsFelix Sadyrbaev0https://orcid.org/0000-0001-5074-804XOlga Kozlovska1https://orcid.org/0009-0000-6438-0602Daugavpils UniversityRiga Technical UniversityA three-dimensional multiparametric system of ordinary differential equations, arising in the theory of genetic networks, is considered. The examples of chaotic behavior are constructed using the methodology by Shilnikov. This methodology requires the existence of a saddle-focus points satisfying some additional conditions. As the result, reach dynamical behavior of solutions can be observed, including chaotic behavior of solutions.https://dergipark.org.tr/en/download/article-file/3493213mathematicalmodeldynamical systemattractorsgenetic regulatorynetworks |
| spellingShingle | Felix Sadyrbaev Olga Kozlovska In Search of Chaos in Genetic Systems Chaos Theory and Applications mathematicalmodel dynamical system attractors genetic regulatorynetworks |
| title | In Search of Chaos in Genetic Systems |
| title_full | In Search of Chaos in Genetic Systems |
| title_fullStr | In Search of Chaos in Genetic Systems |
| title_full_unstemmed | In Search of Chaos in Genetic Systems |
| title_short | In Search of Chaos in Genetic Systems |
| title_sort | in search of chaos in genetic systems |
| topic | mathematicalmodel dynamical system attractors genetic regulatorynetworks |
| url | https://dergipark.org.tr/en/download/article-file/3493213 |
| work_keys_str_mv | AT felixsadyrbaev insearchofchaosingeneticsystems AT olgakozlovska insearchofchaosingeneticsystems |