A note on dynamical systems satisfying the Wnschmann-type condition

International Journal of Physical Sciences

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