Any closed 3-manifold supports A-flows with 2-dimensional expanding attractors
We prove that given any closed 3-manifold M3, there is an A-flow ft on M3 such that the non-wandering set NW (ft) consists of 2-dimensional non-orientable expanding attractor and trivial basic sets.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2020-11-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2020.2.00053 |
| _version_ | 1818755257832833024 |
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| author | Medvedev V. Zhuzhoma E. |
| author_facet | Medvedev V. Zhuzhoma E. |
| author_sort | Medvedev V. |
| collection | DOAJ |
| description | We prove that given any closed 3-manifold M3, there is an A-flow ft on M3 such that the non-wandering set NW (ft) consists of 2-dimensional non-orientable expanding attractor and trivial basic sets. |
| first_indexed | 2024-12-18T05:36:17Z |
| format | Article |
| id | doaj.art-0318c22ebd92452fb6faa18ca186d4af |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-12-18T05:36:17Z |
| publishDate | 2020-11-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-0318c22ebd92452fb6faa18ca186d4af2022-12-21T21:19:18ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562020-11-015230731010.2478/amns.2020.2.00053Any closed 3-manifold supports A-flows with 2-dimensional expanding attractorsMedvedev V.0Zhuzhoma E.1National Research University Higher School of Economics, 25/12 Bolshaya Pecherskaya, 603005, Nizhni Novgorod, RussiaNational Research University Higher School of Economics, 25/12 Bolshaya Pecherskaya, 603005, Nizhni Novgorod, RussiaWe prove that given any closed 3-manifold M3, there is an A-flow ft on M3 such that the non-wandering set NW (ft) consists of 2-dimensional non-orientable expanding attractor and trivial basic sets.https://doi.org/10.2478/amns.2020.2.00053a-flowexpanding attractorprimary 37d05secondary 37b35, 34c40 |
| spellingShingle | Medvedev V. Zhuzhoma E. Any closed 3-manifold supports A-flows with 2-dimensional expanding attractors Applied Mathematics and Nonlinear Sciences a-flow expanding attractor primary 37d05 secondary 37b35, 34c40 |
| title | Any closed 3-manifold supports A-flows with 2-dimensional expanding attractors |
| title_full | Any closed 3-manifold supports A-flows with 2-dimensional expanding attractors |
| title_fullStr | Any closed 3-manifold supports A-flows with 2-dimensional expanding attractors |
| title_full_unstemmed | Any closed 3-manifold supports A-flows with 2-dimensional expanding attractors |
| title_short | Any closed 3-manifold supports A-flows with 2-dimensional expanding attractors |
| title_sort | any closed 3 manifold supports a flows with 2 dimensional expanding attractors |
| topic | a-flow expanding attractor primary 37d05 secondary 37b35, 34c40 |
| url | https://doi.org/10.2478/amns.2020.2.00053 |
| work_keys_str_mv | AT medvedevv anyclosed3manifoldsupportsaflowswith2dimensionalexpandingattractors AT zhuzhomae anyclosed3manifoldsupportsaflowswith2dimensionalexpandingattractors |