KAM via Standard Fixed Point Theorems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909555507593216 |
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| author | Alazard, Thomas Shao, Chengyang |
| author_facet | Alazard, Thomas Shao, Chengyang |
| contents | With a mere usage of well-established properties of para-differential operators, the conjugacy equations in several model KAM problems are converted to para-homological equations solvable by standard fixed point argument. Such discovery greatly simplifies KAM proofs, renders the traditional KAM iteration steps unnecessary, and may suggest a systematic scheme of finding quasi-periodic solutions of realistic magnitude. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13971 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | KAM via Standard Fixed Point Theorems Alazard, Thomas Shao, Chengyang Analysis of PDEs Dynamical Systems With a mere usage of well-established properties of para-differential operators, the conjugacy equations in several model KAM problems are converted to para-homological equations solvable by standard fixed point argument. Such discovery greatly simplifies KAM proofs, renders the traditional KAM iteration steps unnecessary, and may suggest a systematic scheme of finding quasi-periodic solutions of realistic magnitude. |
| title | KAM via Standard Fixed Point Theorems |
| topic | Analysis of PDEs Dynamical Systems |
| url | https://arxiv.org/abs/2312.13971 |