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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.12260 |
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| _version_ | 1866918229170978816 |
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| author | de Jesus, Ygor Espitia, Marcielis Ponce, Gabriel |
| author_facet | de Jesus, Ygor Espitia, Marcielis Ponce, Gabriel |
| contents | In this work we intend to study homoclinic classes for some classes of flows. To this end we obtain analogous results those obtained by Hertz-Hertz-Tahzibi-Ures in the flow setting. Namely we prove that if the Lesbegue measure gives positive measure to both stable and unstable homoclinic classes of a periodic hyperbolic orbit, then their intersection constitute an ergodic component. Futhermore, with similar techiniques we state several results concerning regular SRB measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12260 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homoclinic classes for flows: ergodicity and SRB measures de Jesus, Ygor Espitia, Marcielis Ponce, Gabriel Dynamical Systems In this work we intend to study homoclinic classes for some classes of flows. To this end we obtain analogous results those obtained by Hertz-Hertz-Tahzibi-Ures in the flow setting. Namely we prove that if the Lesbegue measure gives positive measure to both stable and unstable homoclinic classes of a periodic hyperbolic orbit, then their intersection constitute an ergodic component. Futhermore, with similar techiniques we state several results concerning regular SRB measures. |
| title | Homoclinic classes for flows: ergodicity and SRB measures |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2502.12260 |