메뉴 건너뛰기




Volumn 35, Issue 31, 2002, Pages 6713-6742

Non-holonomic Lagrangian and Hamiltonian mechanics: An intrinsic approach

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037047566     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/31/313     Document Type: Article
Times cited : (20)

References (20)
  • 1
    • 0003309890 scopus 로고
    • Classical dynamics of non-holonomic systems: A geometric approach
    • Massa E and Pagani E 1991 Classical dynamics of non-holonomic systems: a geometric approach Ann. Inst. H Poincaré Phys. Theor. 55 511-44
    • (1991) Ann. Inst. H Poincaré Phys. Theor. , vol.55 , pp. 511-544
    • Massa, E.1    Pagani, E.2
  • 2
    • 0001810066 scopus 로고
    • Jet bundle geometry, dynamical connections, and the inverse problem of Lagrangian mechanics
    • Massa E and Pagani E1994 Jet bundle geometry, dynamical connections, and the inverse problem of Lagrangian Mechanics Ann. Inst. H Poincaré Phys. Theor. 61 17-62
    • (1994) Ann. Inst. H Poincaré Phys. Theor. , vol.61 , pp. 17-62
    • Massa, E.1    Pagani, E.2
  • 3
    • 0002292766 scopus 로고    scopus 로고
    • A new look at classical mechanics of constrained systems
    • Massa E and Pagani E 1997 A new look at classical mechanics of constrained systems Ann. Inst. H Poincaré Phys. Theor. 66 1-36
    • (1997) Ann. Inst. H Poincaré Phys. Theor. , vol.66 , pp. 1-36
    • Massa, E.1    Pagani, E.2
  • 5
    • 0043060126 scopus 로고    scopus 로고
    • A new geometrical framework for time-dependent Hamiltonian mechanics
    • Preprint Department of Mathematics, University of Genoa (submitted)
    • Massa E and Vignolo S A New geometrical framework for time-dependent Hamiltonian Mechanics Preprint Department of Mathematics, University of Genoa (Extracta Math. submitted)
    • Extracta Math.
    • Massa, E.1    Vignolo, S.2
  • 6
    • 0034697930 scopus 로고    scopus 로고
    • A new presymplectic geometrical framework for time-dependent Lagrangian systems: The constraint algorithm and second-order differential equation problem
    • Vignolo S 2000 A new presymplectic geometrical framework for time-dependent Lagrangian systems: the constraint algorithm and second-order differential equation problem J. Phys. A: Math. Gen. 33 5117-35
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 5117-5135
    • Vignolo, S.1
  • 7
    • 0032500487 scopus 로고    scopus 로고
    • A geometric approach to constrained mechanical systems, symmetries and inverse problems
    • Morando P and Vignolo S 1998 A geometric approach to constrained mechanical systems, symmetries and inverse problems J. Phys. A: Math. Gen. 31 8233-45
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 8233-8245
    • Morando, P.1    Vignolo, S.2
  • 8
    • 21844484638 scopus 로고
    • A geometrical framework for the study of non-holonomic Lagrangian systems
    • Sarlet W, Cantrijn F and Saunders D J 1995 A geometrical framework for the study of non-holonomic Lagrangian Systems J. Phys. A: Math. Gen. 28 3253-68
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 3253-3268
    • Sarlet, W.1    Cantrijn, F.2    Saunders, D.J.3
  • 9
    • 0009144789 scopus 로고    scopus 로고
    • A geometrical framework for the study of non-holonomic Lagrangian systems: II
    • Sarlet W, Cantrijn F and Saunders D J 1996 A geometrical framework for the study of non-holonomic Lagrangian systems: II J. Phys. A: Math. Gen. 29 4265-74
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 4265-4274
    • Sarlet, W.1    Cantrijn, F.2    Saunders, D.J.3
  • 10
    • 0033209950 scopus 로고    scopus 로고
    • Regularity aspects and Hamiltonisation of non-holonomic systems
    • Sarlet W, Cantrijn F and Saunders D J 1999 Regularity aspects and Hamiltonisation of non-holonomic systems J. Phys. A: Math. Gen. 32 6869-90
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 6869-6890
    • Sarlet, W.1    Cantrijn, F.2    Saunders, D.J.3
  • 11
    • 0001484560 scopus 로고    scopus 로고
    • A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems
    • Sarlet W 1996 A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems Extracta Math. 11 202-12
    • (1996) Extracta Math. , vol.11 , pp. 202-212
    • Sarlet, W.1
  • 13
    • 0000194890 scopus 로고
    • Reduction of constrained mechanical systems and stability of relative equilibria
    • Marle C M 1995 Reduction of constrained mechanical systems and stability of relative equilibria Commun. Math. Phys. 174 295-318
    • (1995) Commun. Math. Phys. , vol.174 , pp. 295-318
    • Marle, C.M.1
  • 14
    • 0030557066 scopus 로고    scopus 로고
    • On the geometry of non-holonomic Lagrangian systems
    • de Leon M and de Diego D M 1996 On the geometry of non-holonomic Lagrangian systems J. Math. Phys. 37 3389-414
    • (1996) J. Math. Phys. , vol.37 , pp. 3389-3414
    • De Leon, M.1    De Diego, D.M.2
  • 16
    • 0001500447 scopus 로고
    • Jet methods in non-holonomic mechanics
    • Giachetta G 1992 Jet methods in non-holonomic mechanics J. Math. Phys. 33 1652-65
    • (1992) J. Math. Phys. , vol.33 , pp. 1652-1665
    • Giachetta, G.1
  • 18
    • 0040199839 scopus 로고    scopus 로고
    • First integrals of non-holonomic systems and their generators
    • Giachetta G 2000 First integrals of non-holonomic systems and their generators J. Phys. A: Math. Gen. 33 5369-89
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 5369-5389
    • Giachetta, G.1
  • 19
    • 0033148086 scopus 로고    scopus 로고
    • On the geometry of Lagrangian mechanics with non-holonomic constraints
    • Grifone J and Mehdi M 1999 On the geometry of Lagrangian mechanics with non-holonomic constraints J. Geom. Phys. 30 187-203
    • (1999) J. Geom. Phys. , vol.30 , pp. 187-203
    • Grifone, J.1    Mehdi, M.2
  • 20
    • 0030117357 scopus 로고    scopus 로고
    • On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
    • Cardin F and Favretti M 1996 On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints J. Geom. Phys. 18 295-325
    • (1996) J. Geom. Phys. , vol.18 , pp. 295-325
    • Cardin, F.1    Favretti, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.