Regularization and topological entropy for the spatial n-center problem

التفاصيل البيبلوغرافية
العنوان: Regularization and topological entropy for the spatial n-center problem
المؤلفون: BOLOTIN, S. V., NEGRINI, P.
المصدر: Ergodic Theory and Dynamical Systems; April 2001, Vol. 21 Issue: 2 p383-399, 17p
مستخلص: 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 S^3 is also studied.
قاعدة البيانات: Supplemental Index