Symmetric homoclinic tangles in reversible dynamical systems have positive topological entropy
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| Publication date | 03-2025 |
| Journal | Advances in Mathematics |
| Article number | 110131 |
| Volume | Issue number | 464 |
| Number of pages | 26 |
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| Abstract | We consider reversible vector fields in R2n such that the set of fixed points of the involutory reversing symmetry is n-dimensional. Let such system have a smooth one-parameter family of symmetric periodic orbits which is of saddle type in normal directions. We establish that the topological entropy is positive when the stable and unstable manifolds of this family of periodic orbits have a strongly-transverse intersection. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1016/j.aim.2025.110131 |
| Other links | https://www.scopus.com/pages/publications/85216793121 |
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Symmetric homoclinic tangles in reversible dynamical systems have positive topological entropy
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