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
收藏
页码：511 / 516
页数：6
相关论文
共 50 条
  • [21] Discrete Constrained Lagrangian Systems and Geometric Constraint Stabilization
    Yoshimura, Hiroaki
    Yoshida, Azumi
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1292 - 1295
  • [22] GEOMETRIC-THEORY OF THE EQUIVALENCE OF LAGRANGIANS FOR CONSTRAINED SYSTEMS
    CARINENA, JF
    IBORT, LA
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (17): : 3335 - 3341
  • [23] Transformation and Moving Media: A Unified Approach Using Geometric Algebra
    Ribeiro, Marco A.
    Paiva, Carlos R.
    METAMATERIALS AND PLASMONICS: FUNDAMENTALS, MODELLING, APPLICATIONS, 2009, : 63 - +
  • [24] A unified approach to geometric quality assurance of cadastral mapping in the Netherlands
    Salzmann, M
    GEOGRAPHICAL INFORMATION - FROM RESEARCH TO APPLICATION THROUGH COOPERATION, VOLS 1 AND 2, 1996, : 954 - 963
  • [25] SET MEMBERSHIP CLASSIFICATION - A UNIFIED APPROACH TO GEOMETRIC INTERSECTION PROBLEMS
    TILOVE, RB
    IEEE TRANSACTIONS ON COMPUTERS, 1980, 29 (10) : 874 - 883
  • [26] A UNIFIED APPROACH TO GEOMETRIC PROBLEMS USING DUAL CONE TRANSFORMATION
    SOUNDARALAKSHMI, S
    BHUJADE, MR
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1992, 46 (1-2) : 29 - 37
  • [27] A Unified Approach for Constrained Extremum Problems: Image Space Analysis
    Li, J.
    Feng, S. Q.
    Zhang, Z.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 159 (01) : 69 - 92
  • [28] A Unified Approach for Constrained Extremum Problems: Image Space Analysis
    J. Li
    S. Q. Feng
    Z. Zhang
    Journal of Optimization Theory and Applications, 2013, 159 : 69 - 92
  • [29] A Unified Gradient Flow Approach to Constrained Nonlinear Optimization Problems
    S. Wang
    X.Q. Yang
    K.L. Teo
    Computational Optimization and Applications, 2003, 25 : 251 - 268
  • [30] A unified gradient flow approach to constrained nonlinear optimization problems
    Wang, S
    Yang, XQ
    Teo, KL
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2003, 25 (1-3) : 251 - 268
12345