Periodic solutions of autonomous $S^1$-symmetric Newtonian systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909854191321088 |
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| author | Golebiewska, A. Rybicki, S. Stefaniak, P. |
| author_facet | Golebiewska, A. Rybicki, S. Stefaniak, P. |
| contents | The aim of this paper is to formulate necessary conditions and sufficient ones for the existence of closed connected sets of nonstationary $2 π$-periodic solutions of $S^1$-symmetric Newtonian systems in $C_{2 π}([0,2π],Ω) \times (0,+ \infty)$. As the main topological tool we apply the degree for equivariant gradient maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16073 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Periodic solutions of autonomous $S^1$-symmetric Newtonian systems Golebiewska, A. Rybicki, S. Stefaniak, P. Dynamical Systems The aim of this paper is to formulate necessary conditions and sufficient ones for the existence of closed connected sets of nonstationary $2 π$-periodic solutions of $S^1$-symmetric Newtonian systems in $C_{2 π}([0,2π],Ω) \times (0,+ \infty)$. As the main topological tool we apply the degree for equivariant gradient maps. |
| title | Periodic solutions of autonomous $S^1$-symmetric Newtonian systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2510.16073 |