We show that the n-center problem in ℝ3 has positive topological entropy for n ≥ 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.
Regularization and topological entropy for the spatial n-center problem / S. V., Bolotin; Negrini, Piero. - In: ERGODIC THEORY & DYNAMICAL SYSTEMS. - ISSN 0143-3857. - 21:2(2001), pp. 383-399. [10.1017/s0143385701001195]
Regularization and topological entropy for the spatial n-center problem
NEGRINI, Piero
2001
Abstract
We show that the n-center problem in ℝ3 has positive topological entropy for n ≥ 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.File allegati a questo prodotto
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