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].
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页码：1 / 10
页数：10
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