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Volumn 51, Issue 1, 2003, Pages 127-148

Some geometric aspects of variational calculus in constrained systems

Author keywords

Constraint; Nonholonomic mechanics; Optimal control; Vakomomic mechanics; Variational calculus

Indexed keywords


EID: 0041704864     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(03)80006-X     Document Type: Article
Times cited : (42)

References (17)
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    • Springer, Berlin
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    • (1988) Dynamical Systems III
    • Arnold, V.I.1    Kozlov, V.V.2    Neishtadt, A.I.3
  • 5
    • 4243277812 scopus 로고
    • Geometric study of Hamilton's variational principle
    • J. F. Cariñena and C. López: Geometric study of Hamilton's variational principle, Rev. Math. Phys. 3 (1991), 379-401.
    • (1991) Rev. Math. Phys. , vol.3 , pp. 379-401
    • Cariñena, J.F.1    López, C.2
  • 6
    • 0001464907 scopus 로고
    • Sections along a map applied to higher-order Lagrangian mechanics. Noether's theorem
    • J. F. Cariñena, C. López and E. Martínez: Sections along a map applied to higher-order Lagrangian mechanics. Noether's theorem, Acta Appl. Math. 25 (1991), 127-151.
    • (1991) Acta Appl. Math. , vol.25 , pp. 127-151
    • Cariñena, J.F.1    López, C.2    Martínez, E.3
  • 12
    • 4243966221 scopus 로고    scopus 로고
    • Vakonomic mechanics versus non-holonomic mechanics: A unified geometric approach
    • M. de León, J. C. Marrero and D. Martín de Diego: Vakonomic mechanics versus non-holonomic mechanics: a unified geometric approach, J. Geom. Phys. 632 (2000), 1-19.
    • (2000) J. Geom. Phys. , vol.632 , pp. 1-19
    • de León, M.1    Marrero, J.C.2    Martín de Diego, D.3
  • 14
    • 0003241549 scopus 로고
    • Shortest Paths for Sub-Riemannian Metrics on Rank-two Distributions
    • W. S. Liu and H. Sussmann: Shortest Paths for Sub-Riemannian Metrics on Rank-two Distributions, Memoirs AMS 118, 564, (1995).
    • (1995) Memoirs AMS , vol.118 , pp. 564
    • Liu, W.S.1    Sussmann, H.2
  • 15
    • 0000346585 scopus 로고
    • A variational principle for nonholonomic systems
    • E. J. Saletan, A. H. Cromer: A variational principle for nonholonomic systems, Am. J. Phys. 38 (1970), 892-897.
    • (1970) Am. J. Phys. , vol.38 , pp. 892-897
    • Saletan, E.J.1    Cromer, A.H.2
  • 16
    • 0000185524 scopus 로고
    • Classical and nonclassical dynamics with constraints
    • Vol. 1108, Springer, Berlin
    • A. M. Vershik: Classical and nonclassical dynamics with constraints, Lecture Notes in Mathematics, Vol. 1108, Springer, Berlin, p. 278-301 (1984).
    • (1984) Lecture Notes in Mathematics , pp. 278-301
    • Vershik, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.