Monotonicity of the period map for the equation $-φ''+φ-φ^{k}=0$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911876158324736 |
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| author | Natali, Fábio Alves, Giovana |
| author_facet | Natali, Fábio Alves, Giovana |
| contents | In this paper, we establish the monotonicity of the period map in terms of the energy levels for certain periodic solutions of the equation $-φ''+φ-φ^{k}=0$, where $k>1$ is a real number. We present a new approach to demonstrate this property, utilizing spectral information of the corresponding linearized operator around the periodic solution and tools related to Floquet theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_07561 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Monotonicity of the period map for the equation $-φ''+φ-φ^{k}=0$ Natali, Fábio Alves, Giovana Dynamical Systems Classical Analysis and ODEs 35B10, 35J61, 47A75 In this paper, we establish the monotonicity of the period map in terms of the energy levels for certain periodic solutions of the equation $-φ''+φ-φ^{k}=0$, where $k>1$ is a real number. We present a new approach to demonstrate this property, utilizing spectral information of the corresponding linearized operator around the periodic solution and tools related to Floquet theory. |
| title | Monotonicity of the period map for the equation $-φ''+φ-φ^{k}=0$ |
| topic | Dynamical Systems Classical Analysis and ODEs 35B10, 35J61, 47A75 |
| url | https://arxiv.org/abs/2212.07561 |