Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910223742009344 |
|---|---|
| author | Dolgopyat, Dmitry Fayad, Bassam Paradela, Jaime |
| author_facet | Dolgopyat, Dmitry Fayad, Bassam Paradela, Jaime |
| contents | We develop an abstract KAM theorem for systems of infinitely many interacting particles with decaying masses and all-to-all interactions. Using this framework, we construct full-dimensional KAM tori for infinite-dimensional mechanical systems exhibiting long range interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15928 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori Dolgopyat, Dmitry Fayad, Bassam Paradela, Jaime Dynamical Systems We develop an abstract KAM theorem for systems of infinitely many interacting particles with decaying masses and all-to-all interactions. Using this framework, we construct full-dimensional KAM tori for infinite-dimensional mechanical systems exhibiting long range interactions. |
| title | Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2605.15928 |