Regularization and topological entropy for the spatial n-center problem
We show that the n-center problem in \mathbb{R}3 has positive topological entropy for n\ge 3. The proof is based on global regularization of singularities and the results of Gromov and Paternain on the topological entropy of geodesic flows. The n-center problem in S3 is also studied.
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| Veröffentlicht in: | Ergodic theory and dynamical systems 2001-04, Vol.21 (2), p.383-399 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show that the n-center problem in \mathbb{R}3 has positive topological entropy for n\ge 3. The proof is based on global regularization of singularities and the results of Gromov and Paternain on the topological entropy of geodesic flows. The n-center problem in S3 is also studied. |
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| ISSN: | 0143-3857 1469-4417 |
| DOI: | 10.1017/S0143385701001195 |