메뉴 건너뛰기




Volumn 53, Issue 1, 2004, Pages 103-122

New geometrical frameworks for classical impulsive mechanics

Author keywords

Impulse; Jet bundles of fiber bundles; Tangent bundle of manifolds

Indexed keywords


EID: 1842481062     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(04)90007-9     Document Type: Article
Times cited : (4)

References (21)
  • 2
    • 0343238642 scopus 로고
    • Symmetry theory and Lagrangian inverse problem for time dependent second order differential equations
    • J. F. Cariǹena and E. Martinez: Symmetry theory and Lagrangian inverse problem for time dependent second order differential equations, J. Phys. A: Math. Gen. 22 (1989), 2659-2665.
    • (1989) J. Phys. A: Math. Gen. , vol.22 , pp. 2659-2665
    • Cariǹena, J.F.1    Martinez, E.2
  • 3
    • 36149038808 scopus 로고
    • Tangent bundle geometry for lagrangian dynamics
    • M. Crampin: Tangent bundle geometry for lagrangian dynamics, J. Phys. A: Math. Gen. 16 (1983), 3755-3772.
    • (1983) J. Phys. A: Math. Gen. , vol.16 , pp. 3755-3772
    • Crampin, M.1
  • 5
    • 0004128628 scopus 로고
    • Géométrie Différentielle et Mécanique Analytique
    • Hermann, Paris
    • C. Godbillon: Géométrie Différentielle et Mécanique Analytique, Hermann, Paris 1969.
    • (1969)
    • Godbillon, C.1
  • 7
    • 0039378279 scopus 로고    scopus 로고
    • Mechanical systems subjected to impulsive constraints
    • A. Ibort, M. De Leon et al.: Mechanical systems subjected to impulsive constraints, J. Phys. A: Math. Gen. 30 (1997), 5835-5854.
    • (1997) J. Phys. A: Math. Gen. , vol.30 , pp. 5835-5854
    • Ibort, A.1    De Leon, M.2
  • 8
    • 0039938911 scopus 로고    scopus 로고
    • Geometric formulation of mechanical systems subjected to time-dependent one-sided constraints
    • A. Ibort, M. De Leon et al.: Geometric formulation of mechanical systems subjected to time-dependent one-sided constraints, J. Phys. A: Math. Gen. 31 (1998), 2655-2674.
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 2655-2674
    • Ibort, A.1    De Leon, M.2
  • 9
    • 0035794106 scopus 로고    scopus 로고
    • Geometric formulation of Carnot's theorem
    • A. Ibort, M. De Leon et al.: Geometric formulation of Carnot's theorem, J. Phys. A: Math. Gen. 34 (2001), 1691-1712.
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 1691-1712
    • Ibort, A.1    De Leon, M.2
  • 11
    • 3943101657 scopus 로고
    • Geometric formulation of mechanical systems with one-sided constraints
    • E. Lacomba and W. M. Tulczyjew: Geometric formulation of mechanical systems with one-sided constraints, J. Phys. A: Math. Gen. 23 (1990), 2801-2813.
    • (1990) J. Phys. A: Math. Gen. , vol.23 , pp. 2801-2813
    • Lacomba, E.1    Tulczyjew, W.M.2
  • 13
    • 0003309890 scopus 로고
    • Classical dynamics of non-holonomic systems: A geometric approach
    • E. Massa and E. Pagani: Classical dynamics of non-holonomic systems: A geometric approach, Ann. Inst. H. Poincarè 55 (1991), 511-544.
    • (1991) Ann. Inst. H. Poincarè , vol.55 , pp. 511-544
    • Massa, E.1    Pagani, E.2
  • 14
    • 0002292766 scopus 로고    scopus 로고
    • A new look at classical dynamics of constrained system
    • E. Massa and E. Pagani: A new look at classical dynamics of constrained system, Ann. Inst. H. Poincarè 66 (1997), 1-36.
    • (1997) Ann. Inst. H. Poincarè , vol.66 , pp. 1-36
    • Massa, E.1    Pagani, E.2
  • 15
    • 1842490110 scopus 로고    scopus 로고
    • A new geometrical framework for time dependent hamiltonian mechanics
    • in print
    • E. Massa and S. Vignolo: A new geometrical framework for time dependent hamiltonian mechanics, Extracta Mathematicae, 2003, in print.
    • (2003) Extracta Mathematicae
    • Massa, E.1    Vignolo, S.2
  • 18
    • 0001401314 scopus 로고
    • A new look at second order equations and lagrangian mechanics
    • W. Sarlet, F. Cantrijn, and M. Crampin: A new look at second order equations and lagrangian mechanics, J. Phys. A: Math. Gen. 17 (1984), 1999-2009.
    • (1984) J. Phys. A: Math. Gen. , vol.17 , pp. 1999-2009
    • Sarlet, W.1    Cantrijn, F.2    Crampin, M.3
  • 19
    • 0004105695 scopus 로고
    • The Geometry of the Jet Bundles
    • Cambridge University Press, Cambridge
    • D. J. Saunders: The Geometry of the Jet Bundles, Cambridge University Press, Cambridge 1989.
    • (1989)
    • Saunders, D.J.1
  • 20
    • 0003591959 scopus 로고
    • A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
    • Cambridge University Press, Cambridge
    • E. T. Whittaker. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, Cambridge 1988.
    • (1988)
    • Whittaker, E.T.1
  • 21
    • 0004021335 scopus 로고
    • Springer, Berlin-Heidelberg-New York
    • K. Yosida: Functional Analysis, Springer, Berlin-Heidelberg-New York 1980.
    • (1980) Functional Analysis
    • Yosida, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.