期刊论文详细信息
International Journal of Physical Sciences | |
A note on dynamical systems satisfying the Wnschmann-type condition | |
Mircea Crăşmăreanu1  | |
关键词: Second order ordinary differential equations (SODE); semispray-metric; Hamilton-Jacobi equation; dynamical systems; Wü nschmann-type condition; (quasi) Euler-Lagrange equation; geodesic equation.; | |
DOI : 10.5897/IJPS11.1382 | |
学科分类:物理(综合) | |
来源: Academic Journals | |
【 摘 要 】
Dynamical systems of second order ordinary differential equations (SODEs) satisfying the Wünschmann-type condition are presented, with a special emphasis on SODEs provided by Euler-Lagrange equations, particularly, geodesics on surfaces. Some remarkable facts are to be pointed: three of our examples are of quasi Euler-Lagrange nature; also, except one example that leads to classical Euclidean 2D metric, all yields a semi-Riemannian metric.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201902012663701ZK.pdf | 464KB | download |