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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.24612 |
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| _version_ | 1866912982694363136 |
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| author | Hu, Mingzhi Lu, Zhengyi Luo, Yong |
| author_facet | Hu, Mingzhi Lu, Zhengyi Luo, Yong |
| contents | In this paper, a three-dimensional competitive Lotka-Volterra system with four limit cycles is constructed for class 28 in Zeeman's classification. Combined with existing results -- from Gyllenberg and Yan (2009) for class 27, from Wang, Huang and Wu (2011) for class 29, and from Yu, Han and Xiao (2016) for class 26 -- our finding indicates that there exist systems with at least four limit cycles for each class among classes 26 $-$ 29. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24612 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Four Limit Cycles in Three-Dimensional Competitive Lotka-Volterra Systems of Class 28 in Zeeman's Classification Hu, Mingzhi Lu, Zhengyi Luo, Yong Dynamical Systems In this paper, a three-dimensional competitive Lotka-Volterra system with four limit cycles is constructed for class 28 in Zeeman's classification. Combined with existing results -- from Gyllenberg and Yan (2009) for class 27, from Wang, Huang and Wu (2011) for class 29, and from Yu, Han and Xiao (2016) for class 26 -- our finding indicates that there exist systems with at least four limit cycles for each class among classes 26 $-$ 29. |
| title | Four Limit Cycles in Three-Dimensional Competitive Lotka-Volterra Systems of Class 28 in Zeeman's Classification |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2603.24612 |