Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.13091 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914650726072320 |
|---|---|
| author | Kravetc, Pavel Gendelman, Oleg Fidlin, Alexander |
| author_facet | Kravetc, Pavel Gendelman, Oleg Fidlin, Alexander |
| contents | This paper explores the use of the Approximation of Isolated Resonance (AIR) method for determining the safe basins (SBs) in the problem of escape from a potential well. The study introduces a novel approach to capture the location and the shape of the SBs and establish their erosion profiles. The research highlights the concept of "true" safe basins, which remain invariant with phase shifts, a critical factor often faced in real-world applications. A cubic polynomial potential serves as the benchmark to illustrate the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13091 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical integrity of the safe basins in a problem of forced escape Kravetc, Pavel Gendelman, Oleg Fidlin, Alexander Dynamical Systems This paper explores the use of the Approximation of Isolated Resonance (AIR) method for determining the safe basins (SBs) in the problem of escape from a potential well. The study introduces a novel approach to capture the location and the shape of the SBs and establish their erosion profiles. The research highlights the concept of "true" safe basins, which remain invariant with phase shifts, a critical factor often faced in real-world applications. A cubic polynomial potential serves as the benchmark to illustrate the proposed method. |
| title | Dynamical integrity of the safe basins in a problem of forced escape |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2401.13091 |