تقرير
Jacobi-Lie systems: Fundamentals and low-dimensional classification
| العنوان: | Jacobi-Lie systems: Fundamentals and low-dimensional classification |
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| المؤلفون: | Herranz, F. J., de Lucas, J., Sardon, C. |
| المصدر: | Dynamical Systems, Differential Equations and Applications. AIMS Proceedings, 2015, pp. 605-614 |
| سنة النشر: | 2014 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, 34A26, 53B50 |
| الوصف: | A Lie system is a system of differential equations describing the integral curves of a $t$-dependent vector field taking values in a finite-dimensional real Lie algebra of vector fields, a Vessiot-Guldberg Lie algebra. We define and analyze Lie systems possessing a Vessiot-Guldberg Lie algebra of Hamiltonian vector fields relative to a Jacobi manifold, the hereafter called Jacobi-Lie systems. We classify Jacobi-Lie systems on $\mathbb{R}$ and $\mathbb{R}^2$. Our results shall be illustrated through examples of physical and mathematical interest. Comment: 15 pages. Examples, references and comments added. Based on the contribution presented at "The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications", July 07-11, 2014, Madrid, Spain. To appear in the Proceedings of the 10th AIMS Conference |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3934/proc.2015.0605 |
| URL الوصول: | http://arxiv.org/abs/1412.0300 |
| رقم الأكسشن: | edsarx.1412.0300 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3934/proc.2015.0605 |
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