On Kolmogorov-typical properties of symplectic dynamics
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916844736086016 |
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| author | Berger, Pierre Turaev, Dmitry |
| author_facet | Berger, Pierre Turaev, Dmitry |
| contents | We propose a general framework, within which we prove that several properties, such as the fast growth of the number of periodic points, the universality, and the high emergence, hold true for every parameter value for a generic finite-parameter family of symplectic diffeomorphisms displaying an elliptic point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11375 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Kolmogorov-typical properties of symplectic dynamics Berger, Pierre Turaev, Dmitry Dynamical Systems Symplectic Geometry We propose a general framework, within which we prove that several properties, such as the fast growth of the number of periodic points, the universality, and the high emergence, hold true for every parameter value for a generic finite-parameter family of symplectic diffeomorphisms displaying an elliptic point. |
| title | On Kolmogorov-typical properties of symplectic dynamics |
| topic | Dynamical Systems Symplectic Geometry |
| url | https://arxiv.org/abs/2507.11375 |