Patterns of Non-Stationary Solutions to Symmetric Systems of Second-Order Differential Equations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913717409546240 |
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| author | Ghanem, Ziad |
| author_facet | Ghanem, Ziad |
| contents | We establish the existence of non-stationary solutions to a symmetric system of second-order autonomous differential equations. Our technique is based on the equivariant degree theory and involves a novel characterization of orbit types of maximal kind in the Burnside Ring product of a finite number of basic degrees for the group $O(2) \times Γ\times \mathbb Z_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18263 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Patterns of Non-Stationary Solutions to Symmetric Systems of Second-Order Differential Equations Ghanem, Ziad Dynamical Systems We establish the existence of non-stationary solutions to a symmetric system of second-order autonomous differential equations. Our technique is based on the equivariant degree theory and involves a novel characterization of orbit types of maximal kind in the Burnside Ring product of a finite number of basic degrees for the group $O(2) \times Γ\times \mathbb Z_2$. |
| title | Patterns of Non-Stationary Solutions to Symmetric Systems of Second-Order Differential Equations |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2410.18263 |