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
关键词：
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
收藏
页码：1 / 10
页数：10
相关论文
共 50 条
  • [41] A Treatment of a Higher-Order Singular Lagrangian as Fields System
    Farahat, N. I.
    Heles, M. R.
    TURKISH JOURNAL OF PHYSICS, 2006, 30 (02): : 67 - 79
  • [42] Symmetries in a Constrained System with a Singular Higher-Order Lagrangian
    Zi-ping Li
    Rui-jie Li
    International Journal of Theoretical Physics, 2006, 45 : 384 - 409
  • [43] Higher-order Lagrangian perturbative theory for the Cosmic Web
    Tatekawa, Takayuki
    Mizuno, Shuntaro
    ZELDOVICH UNIVERSE: GENESIS AND GROWTH OF THE COSMIC WEB, 2016, 11 (S308): : 119 - 120
  • [44] HOMOTHETIC VECTORS AND HIGHER-ORDER LAGRANGIAN THEORIES OF GRAVITY
    COLEY, AA
    CLASSICAL AND QUANTUM GRAVITY, 1989, 6 (09) : 1213 - 1218
  • [45] Second class constraints in a higher-order Lagrangian formalism
    Phys Lett Sect B Nucl Elem Part High Energy Phys, 1-4 (235):
  • [46] Symmetries in a constrained system with a singular higher-order Lagrangian
    Li, Zi-ping
    Li, Rui-jie
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2006, 45 (02) : 395 - 420
  • [47] Lagrangian systems with higher order constraints
    Cendra, H.
    Grillo, S. D.
    JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (05)
  • [48] DIGITAL SYSTEMS OF HIGHER-ORDER
    SCHEUING, EU
    SPERLICH, J
    1978, 51 (4-5): : 185 - 190
  • [49] HIGHER-ORDER PCM SYSTEMS
    SPERLICH, J
    INTERNATIONALE ELEKTRONISCHE RUNDSCHAU, 1974, 28 (01): : 5 - 7
  • [50] SPRAYS AND CONNECTIONS ON TANGENT-BUNDLES OF HIGHER-ORDER
    DELEON, M
    VILLAVERDE, C
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 293 (01): : 51 - 54
12345