메뉴 건너뛰기




Volumn 30, Issue 3, 1999, Pages 187-203

On the geometry of Lagrangian mechanics with non-holonomic constraints

Author keywords

Connections; Lagrangian mechanics; Non holonomic constraints; Non holonomic geometry; Sprays

Indexed keywords


EID: 0033148086     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(98)00055-2     Document Type: Article
Times cited : (10)

References (15)
  • 1
    • 0011406471 scopus 로고
    • Geometrical aspects of dynamics of non-holonomic systems
    • Chambery
    • S. Benenti, Geometrical aspects of dynamics of non-holonomic systems, Conference Journées Rélativistes 1987, Chambery.
    • (1987) Conference Journées Rélativistes
    • Benenti, S.1
  • 6
    • 0000618910 scopus 로고    scopus 로고
    • Structure presque-tangente et connexions I, II
    • J. Grifone, Structure presque-tangente et connexions I, II, Ann. Inst. Fourier (1972), XXII (1), pp. 287-334; XXII (3), pp. 291-388.
    • (1972) Ann. Inst. Fourier , vol.22 , Issue.1 , pp. 287-334
    • Grifone, J.1
  • 7
    • 0000618910 scopus 로고    scopus 로고
    • J. Grifone, Structure presque-tangente et connexions I, II, Ann. Inst. Fourier (1972), XXII (1), pp. 287-334; XXII (3), pp. 291-388.
    • Ann. Inst. Fourier , vol.22 , Issue.3 , pp. 291-388
  • 8
    • 0001707439 scopus 로고
    • Variational principles for constrained systems: Theory and experiment
    • A.D. Lewis, R.M. Murray, Variational principles for constrained systems: Theory and experiment, Internet J. Non-linear Mech. 30 (6) (1995) pp. 793, 815.
    • (1995) Internet J. Non-linear Mech. , vol.30 , Issue.6 , pp. 793
    • Lewis, A.D.1    Murray, R.M.2
  • 9
    • 0000194890 scopus 로고
    • Réduction of constrained mechanical systems and stability of relative equilibria
    • C.M. Marle, Réduction of constrained mechanical systems and stability of relative equilibria, Comm. Math. Phys. 174 (1995) 295-318.
    • (1995) Comm. Math. Phys. , vol.174 , pp. 295-318
    • Marle, C.M.1
  • 10
    • 0003309890 scopus 로고
    • Classical dynamics of non-holonomic systems: A geometrical approach
    • E. Massa, E. Pagani, Classical dynamics of non-holonomic systems: A geometrical approach, Ann. Inst. H. Poincaré 55 (1) (1991) 511-544.
    • (1991) Ann. Inst. H. Poincaré , vol.55 , Issue.1 , pp. 511-544
    • Massa, E.1    Pagani, E.2
  • 11
    • 0002292766 scopus 로고    scopus 로고
    • A new look at classical mechanics of constrained systems
    • E. Massa, E. Pagani, A new look at classical mechanics of constrained systems, Ann. Inst. H. Poincaré 66 (1) (1997) 1-36.
    • (1997) Ann. Inst. H. Poincaré , vol.66 , Issue.1 , pp. 1-36
    • Massa, E.1    Pagani, E.2
  • 12
    • 0030557066 scopus 로고    scopus 로고
    • On the geometry of non-holonomic Lagrangian systems
    • M. de Léon, D.M. de Diego, On the geometry of non-holonomic Lagrangian systems, J. Math. Phys. 37 (7) (1996) 3389-3414.
    • (1996) J. Math. Phys. , vol.37 , Issue.7 , pp. 3389-3414
    • De Léon, M.1    De Diego, D.M.2
  • 13
    • 21844484638 scopus 로고
    • A geometrical framework for the study of non-holonomic Lagrangian systems, I, II
    • D.J. Saunders, W. Sarlet, F. Cantrijn, A geometrical framework for the study of non-holonomic Lagrangian systems, I, II, J. Phys. A 28 (1995) 3253-3268; 29 (1996) 4265-4274.
    • (1995) J. Phys. A , vol.28 , pp. 3253-3268
    • Saunders, D.J.1    Sarlet, W.2    Cantrijn, F.3
  • 14
    • 0009144789 scopus 로고    scopus 로고
    • D.J. Saunders, W. Sarlet, F. Cantrijn, A geometrical framework for the study of non-holonomic Lagrangian systems, I, II, J. Phys. A 28 (1995) 3253-3268; 29 (1996) 4265-4274.
    • (1996) J. Phys. A , vol.29 , pp. 4265-4274
  • 15
    • 0002238815 scopus 로고
    • Differential geometry and Lagrangian mechanics with constraints
    • A.M. Vershik, L.D. Faddeev, Differential geometry and Lagrangian mechanics with constraints, Soviet Phys. Dokl. 17 (1972) 34-36.
    • (1972) Soviet Phys. Dokl. , vol.17 , pp. 34-36
    • Vershik, A.M.1    Faddeev, L.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.