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Volumn 36, Issue 1-2, 2000, Pages 140-151

Symmetry reduction of discrete Lagrangian mechanics on Lie groups

Author keywords

58F; 70E15; 70H35; Dynamical systems; Euler Poincar ; Poisson; Symplectic

Indexed keywords


EID: 0007071020     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(00)00018-8     Document Type: Article
Times cited : (49)

References (13)
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  • 2
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  • 3
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    • Variational Integrators and the Newark Algorithm for Conservative and Dissipate Mechanical Systems
    • to appear
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    • Int. J. Num. Meth. Eng.
    • Kane, C.1    Marsden, J.E.2    Ortiz, M.3    West, M.4
  • 4
    • 0000307990 scopus 로고    scopus 로고
    • Conserving algorithms for the N -dimensional rigid body
    • Lewis D., Simo J.C. Conserving algorithms for the. N -dimensional rigid body Fields Inst. Commun. 10:1996;121-139.
    • (1996) Fields Inst. Commun. , vol.10 , pp. 121-139
    • Lewis, D.1    Simo, J.C.2
  • 6
    • 0032476963 scopus 로고    scopus 로고
    • Multisymplectic geometry, variational integrators, and nonlinear PDEs
    • Marsden J.E., Patrick G., Shkoller S. Multisymplectic geometry, variational integrators, and nonlinear PDEs. Commun. Math. Phys. 199:1998;351-395.
    • (1998) Commun. Math. Phys. , vol.199 , pp. 351-395
    • Marsden, J.E.1    Patrick, G.2    Shkoller, S.3
  • 7
    • 0033228880 scopus 로고    scopus 로고
    • Discrete Euler-Poincaré and Lie-Poisson equations
    • Marsden J.E., Pekarsky S., Shkoller S. Discrete Euler-Poincaré and Lie-Poisson equations. Nonlinearity. 12:1999;1647-1662.
    • (1999) Nonlinearity , vol.12 , pp. 1647-1662
    • Marsden, J.E.1    Pekarsky, S.2    Shkoller, S.3
  • 9
    • 0000008977 scopus 로고
    • Discrete versions of some classical integrable systems and factorization of matrix polynomials
    • Moser J., Veselov A.P. Discrete versions of some classical integrable systems and factorization of matrix polynomials. Commun. Math. Phys. 139:1991;217-243.
    • (1991) Commun. Math. Phys. , vol.139 , pp. 217-243
    • Moser, J.1    Veselov, A.P.2
  • 10
    • 0002859047 scopus 로고
    • Integrable discrete-time systems and difference operators
    • Veselov A.P. Integrable discrete-time systems and difference operators. Funk. Anal. Prilozhen. 22:1988;1-13.
    • (1988) Funk. Anal. Prilozhen. , vol.22 , pp. 1-13
    • Veselov, A.P.1
  • 11
    • 0001189154 scopus 로고
    • Integrable Lagrangian correspondences and the factorization of matrix polynomials
    • Veselov A.P. Integrable Lagrangian correspondences and the factorization of matrix polynomials. Funk. Anal. Prilozhen. 25:1991;38-49.
    • (1991) Funk. Anal. Prilozhen. , vol.25 , pp. 38-49
    • Veselov, A.P.1
  • 12
    • 0000714030 scopus 로고    scopus 로고
    • Lagrangian mechanics and groupoids
    • Weinstein A. Lagrangian mechanics and groupoids. Fields Inst. Commun. 7:1996;207-231.
    • (1996) Fields Inst. Commun. , vol.7 , pp. 207-231
    • Weinstein, A.1
  • 13
    • 0031210701 scopus 로고    scopus 로고
    • Mechanical integrators derived from a discrete variational principle
    • Wendlandt J.M., Marsden J.E. Mechanical integrators derived from a discrete variational principle. Physica D. 106:1997;223-246.
    • (1997) Physica D , vol.106 , pp. 223-246
    • Wendlandt, J.M.1    Marsden, J.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.