CONSTRAINED SYSTEMS - A UNIFIED GEOMETRIC APPROACH

被引：11

作者：

GRACIA, X ^{[1
]}

PONS, JM ^{[1
]}

机构：

[1] UNIV BARCELONA,DEPT ESTRUCT & CONSTITUENTS MAT,E-08028 BARCELONA,SPAIN

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1991年 / 30卷 / 04期

关键词：

D O I：

10.1007/BF00672895

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general geometric framework is devised in order to contain the presymplectic and Lagrangian formalisms as particular cases. We call these objects constrained dynamical system, since their dynamics usually lead to constraints. Their most elementary properties are studied, and several related structures, especially morphisms, are defined. In particular, a stabilization algorithm is performed. As a byproduct, the dynamics and constraints of the Lagrangian formalism (with the "second-order condition") are intrinsically obtained.

引用

页码：511 / 516

页数：6

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