A unified approach to constrained mechanical systems as implicit differential equations

被引：0
|
作者：
Barone, F
Grassini, R
Mendella, G
机构：
[1] Univ Naples Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, I-80126 Naples, Italy
[2] Ist Nazl Fis Nucl, Sezione Napoli, Naples, Italy
来源：
ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE | 1999年 / 70卷 / 06期
关键词：
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A unified approach to the Lagrangian description of (time-independent) constrained mechanical systems is provided through a technique generating implicit differential equations on T*Q from 1-forms defined on the total space of any fibre bundle over TQ. (C) Elsevier, Paris.
引用
收藏
页码：515 / 546
页数：32
相关论文
共 50 条
  • [41] An efficient unified approach for the numerical solution of delay differential equations
    ZivariPiran, Hossein
    Enright, Wayne H.
    NUMERICAL ALGORITHMS, 2010, 53 (2-3) : 397 - 417
  • [42] An efficient unified approach for the numerical solution of delay differential equations
    Hossein ZivariPiran
    Wayne H. Enright
    Numerical Algorithms, 2010, 53 : 397 - 417
  • [43] A unified approach to nonlocal impulsive differential equations with the measure of noncompactness
    Shaochun Ji
    Gang Li
    Advances in Difference Equations, 2012
  • [44] A unified approach to nonlocal impulsive differential equations with the measure of noncompactness
    Ji, Shaochun
    Li, Gang
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [45] A differential equations approach to Hamiltonian systems
    Fesser, D
    Saller, D
    Seiler, WM
    REPORTS ON MATHEMATICAL PHYSICS, 2002, 49 (2-3) : 345 - 359
  • [46] Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations: An algebraic approach
    Moysis, Lazaros
    Pantelous, Athanasios A.
    Antoniou, Efstathios
    Karampetakis, Nicholas P.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (03): : 1421 - 1445
  • [47] A geometric singular perturbation theory approach to constrained differential equations
    Cardin, Pedro Toniol
    Teixeira, Marco Antonio
    MATHEMATISCHE NACHRICHTEN, 2019, 292 (04) : 892 - 904
  • [48] QUADRATURES FOR IMPLICIT DIFFERENTIAL EQUATIONS
    VERNER, JH
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1970, 7 (03) : 373 - &
  • [49] Implicit Partial Differential Equations
    Hegedus, Jeno
    ACTA SCIENTIARUM MATHEMATICARUM, 2005, 71 (1-2): : 443 - 444
  • [50] Bifurcations of implicit differential equations
    Bruce, JW
    Fletcher, GJ
    Tari, F
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2000, 130 : 485 - 506
12345