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Volumn 41, Issue 2, 1998, Pages 203-221

Implicit Hamiltonian systems with symmetry

Author keywords

Dirac structures; Hamiltonian systems; Implicit systems; Nonholonomic constraints; Reduction; Symmetry

Indexed keywords


EID: 0032039820     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(98)80176-6     Document Type: Article
Times cited : (51)

References (25)
  • 1
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    • Arnold, V.I.1
  • 7
    • 0032154062 scopus 로고    scopus 로고
    • On representations and integrability of mathematical structures in energy-conserving physical systems
    • October to appear in
    • [7] M. Dalsmo and A. J. van der Schaft: On representations and integrability of mathematical structures in energy-conserving physical systems, October 1996, to appear in SIAM J. Contr. Optim., 1998.
    • (1996) SIAM J. Contr. Optim.
    • Dalsmo, M.1    Van Der Schaft, A.J.2
  • 12
    • 41649087294 scopus 로고
    • Géométrie des systèmes mécaniques à liaisons actives
    • Birkhaüser, Boston, PMM 99
    • [12] C.-M. Marle: Géométrie des systèmes mécaniques à liaisons actives, in Symplectic Geometry and Mathematical Physics, Birkhaüser, Boston, PMM 99, 1992.
    • (1992) Symplectic Geometry and Mathematical Physics
    • Marle, C.-M.1
  • 13
    • 0003274786 scopus 로고
    • Introduction to mechanics and symmetry
    • Springer, New York
    • [13] J. E. Marsden and T. S. Ratiu: Introduction to Mechanics and Symmetry, Texts in Applied Mathematics 17, Springer, New York 1994.
    • (1994) Texts in Applied Mathematics , vol.17
    • Marsden, J.E.1    Ratiu, T.S.2
  • 19
    • 0003345224 scopus 로고
    • Applications of lie groups to differential equations
    • Springer, New York
    • [19] P. J. Olver: Applications of Lie Groups to Differential Equations, Graduate Texts in Mathematics 107, Springer, New York 1986.
    • (1986) Graduate Texts in Mathematics , vol.107
    • Olver, P.J.1
  • 23
    • 0003207640 scopus 로고    scopus 로고
    • Interconnected mechanical systems, part I: Geometry of interconnection and implicit Hamiltonian systems
    • Eds. A. Astolfi, D. J. N. Limebeer, C. Melchiorri, A. Tornambe, R.B. Vinter, Imperial College Press, London
    • [23] A. J. van der Schaft and B. M. Maschke: Interconnected Mechanical Systems, part I: Geometry of Interconnection and Implicit Hamiltonian Systems, pp. 1-16 in Modelling and Control of Mechanical Systems Eds. A. Astolfi, D. J. N. Limebeer, C. Melchiorri, A. Tornambe, R.B. Vinter, Imperial College Press, London 1997.
    • (1997) Modelling and Control of Mechanical Systems , pp. 1-16
    • Van Der Schaft, A.J.1    Maschke, B.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.