تقرير
Dynamics in the Kepler problem on the Heisenberg group
| العنوان: | Dynamics in the Kepler problem on the Heisenberg group |
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| المؤلفون: | Basalaev, Sergey, Agapov, Sergei |
| المصدر: | Anal.Math.Phys. 14, 58 (2024) |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, Mathematical Physics, 37N05, 53C17, 70F25, 37J60 |
| الوصف: | We study the nonholonomic motion of a point particle on the Heisenberg group around the fixed "sun" whose potential is given by the fundamental solution of the sub-Laplacian. Unlike arXiv:1212.2713 where the variational problem is studied we consider the equations of nonholonomic dynamics which are not Hamiltonian. We find three independent first integrals of the system and show that its bounded trajectories of the system are wound up around certain surfaces of the fourth order. Comment: Some incorrect formulas are fixed in the second version of the preprint |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s13324-024-00921-2 |
| URL الوصول: | http://arxiv.org/abs/2311.15746 |
| رقم الأكسشن: | edsarx.2311.15746 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s13324-024-00921-2 |
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