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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2403.18566 |
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| _version_ | 1866910978597191680 |
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| author | Haro, Alex Vidal, Eric Sandin |
| author_facet | Haro, Alex Vidal, Eric Sandin |
| contents | The goal of this paper is to provide a methodology to prove existence of (fiberwise hyperbolic) real-analytic invariant tori in real-analytic quasi-periodic skew-product dynamical systems that present nearly-invariant tori of the same characteristics. The methodology is based on the application of a Newton-Kantorovich theorem whose hypotheses are tested using Fourier analysis methods for a numerical approximation of the parameterization of an invariant torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computer-Assisted Proofs of Existence of Invariant Tori in Quasi-periodic Systems via Fourier Methods Haro, Alex Vidal, Eric Sandin Dynamical Systems 37C55, 37C60, 37D10, 65G30, 42A16 The goal of this paper is to provide a methodology to prove existence of (fiberwise hyperbolic) real-analytic invariant tori in real-analytic quasi-periodic skew-product dynamical systems that present nearly-invariant tori of the same characteristics. The methodology is based on the application of a Newton-Kantorovich theorem whose hypotheses are tested using Fourier analysis methods for a numerical approximation of the parameterization of an invariant torus. |
| title | Computer-Assisted Proofs of Existence of Invariant Tori in Quasi-periodic Systems via Fourier Methods |
| topic | Dynamical Systems 37C55, 37C60, 37D10, 65G30, 42A16 |
| url | https://arxiv.org/abs/2403.18566 |