DYNAMIC CONNECTIONS AND HIGHER-ORDER LAGRANGIAN SYSTEMS

被引：0

作者：

OPRIS, D

KLEPP, FC

机构：

[1] UNIV TIMISOARA,SEMINAR GEOMETRY & TOPOL,TIMISOARA,ROMANIA

[2] TECH UNIV TIMISOARA,DEPT MATH,TIMISOARA,ROMANIA

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 1993年 / 42卷 / 1-2期

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D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if xi is a (2r)-order differential equation (semispray) on the (2r - 1)-jet bundle T2r-1Q whose paths are solutions of the non-autonomous Lagrange equations, then there is a connection GAMMA on T2r-1Q whose paths are also solutions of the same equations. Moreover, GAMMA is a connection whose associated semispray is precisely xi. This is an extension to higher-order Lagrangian dynamics of a previous result given by M. DE LEON and P. RODRIGUES [3].

引用

页码：1 / 10

页数：10