Variation of Physical Measures in Nontrivial Mixed Partially Hyperbolic Systems
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911347270221824 |
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| author | Hangyue, Zhang |
| author_facet | Hangyue, Zhang |
| contents | We construct a smooth nontrivial mixed partially hyperbolic system and explicitly identify its skeleton. This example shares characteristics with the classical examples. Moreover, the support of each physical measure contains three fixed points with mutually distinct unstable indices. By appropriately perturbing the skeleton, we provide an example where the number of physical measures varies upper semi-continuously. The general framework of mixed partially hyperbolic systems has been studied in theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24409 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variation of Physical Measures in Nontrivial Mixed Partially Hyperbolic Systems Hangyue, Zhang Dynamical Systems 37D30, 37C40, 37D25, 37D35 We construct a smooth nontrivial mixed partially hyperbolic system and explicitly identify its skeleton. This example shares characteristics with the classical examples. Moreover, the support of each physical measure contains three fixed points with mutually distinct unstable indices. By appropriately perturbing the skeleton, we provide an example where the number of physical measures varies upper semi-continuously. The general framework of mixed partially hyperbolic systems has been studied in theorem. |
| title | Variation of Physical Measures in Nontrivial Mixed Partially Hyperbolic Systems |
| topic | Dynamical Systems 37D30, 37C40, 37D25, 37D35 |
| url | https://arxiv.org/abs/2512.24409 |