Robust complex heterodimensional cycles
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913648238133248 |
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| author | Biebler, Sébastien |
| author_facet | Biebler, Sébastien |
| contents | A diffeomorphism f has a heterodimensional cycle if it displays two (transitive) hyperbolic sets K and K' with different indices such that the unstable set of K intersects the stable one of K' and vice versa. We prove that it is possible to find robust heterodimensional cycles for families of polynomial automorphisms of C^3 . The proof is based on Bonatti-D{í}az blenders. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07950 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robust complex heterodimensional cycles Biebler, Sébastien Dynamical Systems A diffeomorphism f has a heterodimensional cycle if it displays two (transitive) hyperbolic sets K and K' with different indices such that the unstable set of K intersects the stable one of K' and vice versa. We prove that it is possible to find robust heterodimensional cycles for families of polynomial automorphisms of C^3 . The proof is based on Bonatti-D{í}az blenders. |
| title | Robust complex heterodimensional cycles |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2501.07950 |