Meromorphic Non-Integrability of Several 3D Dynamical Systems
In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integrability of a class of 3D equations in mathematical physics, including Nosé–Hoover equations, the Lü system, the Rikitake-like system and Rucklidge equations, which are well known in the fields of mol...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-05-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/19/5/211 |
| _version_ | 1828153153832353792 |
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| author | Kaiyin Huang Shaoyun Shi Wenlei Li |
| author_facet | Kaiyin Huang Shaoyun Shi Wenlei Li |
| author_sort | Kaiyin Huang |
| collection | DOAJ |
| description | In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integrability of a class of 3D equations in mathematical physics, including Nosé–Hoover equations, the Lü system, the Rikitake-like system and Rucklidge equations, which are well known in the fields of molecular dynamics, chaotic theory and fluid mechanics, respectively. Our main results show that all these considered systems are, in fact, non-integrable in nearly all parameters. |
| first_indexed | 2024-04-11T22:21:23Z |
| format | Article |
| id | doaj.art-cf833ed2a66e4b658e9d6ca91e26158a |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:21:23Z |
| publishDate | 2017-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-cf833ed2a66e4b658e9d6ca91e26158a2022-12-22T04:00:07ZengMDPI AGEntropy1099-43002017-05-0119521110.3390/e19050211e19050211Meromorphic Non-Integrability of Several 3D Dynamical SystemsKaiyin Huang0Shaoyun Shi1Wenlei Li2School of Mathematics, Jilin University, Changchun 130012, ChinaSchool of Mathematics, Jilin University, Changchun 130012, ChinaSchool of Mathematics, Jilin University, Changchun 130012, ChinaIn this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integrability of a class of 3D equations in mathematical physics, including Nosé–Hoover equations, the Lü system, the Rikitake-like system and Rucklidge equations, which are well known in the fields of molecular dynamics, chaotic theory and fluid mechanics, respectively. Our main results show that all these considered systems are, in fact, non-integrable in nearly all parameters.http://www.mdpi.com/1099-4300/19/5/211differential Galois theoryfirst integralsmeromorphic non-integrability |
| spellingShingle | Kaiyin Huang Shaoyun Shi Wenlei Li Meromorphic Non-Integrability of Several 3D Dynamical Systems Entropy differential Galois theory first integrals meromorphic non-integrability |
| title | Meromorphic Non-Integrability of Several 3D Dynamical Systems |
| title_full | Meromorphic Non-Integrability of Several 3D Dynamical Systems |
| title_fullStr | Meromorphic Non-Integrability of Several 3D Dynamical Systems |
| title_full_unstemmed | Meromorphic Non-Integrability of Several 3D Dynamical Systems |
| title_short | Meromorphic Non-Integrability of Several 3D Dynamical Systems |
| title_sort | meromorphic non integrability of several 3d dynamical systems |
| topic | differential Galois theory first integrals meromorphic non-integrability |
| url | http://www.mdpi.com/1099-4300/19/5/211 |
| work_keys_str_mv | AT kaiyinhuang meromorphicnonintegrabilityofseveral3ddynamicalsystems AT shaoyunshi meromorphicnonintegrabilityofseveral3ddynamicalsystems AT wenleili meromorphicnonintegrabilityofseveral3ddynamicalsystems |