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Volumn 38, Issue 5, 1997, Pages 2332-2344

Dynamics of generalized Poisson and Nambu-Poisson brackets

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EID: 0347704252     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531960     Document Type: Article
Times cited : (48)

References (17)
  • 1
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    • Nambu, Y.1
  • 2
    • 21344477372 scopus 로고
    • On foundations of the generalized Nambu mechanics
    • L. Takhtajan, "On foundations of the generalized Nambu mechanics," Commun. Math. Phys. 160, 295-315 (1994).
    • (1994) Commun. Math. Phys. , vol.160 , pp. 295-315
    • Takhtajan, L.1
  • 4
    • 0038385998 scopus 로고
    • Les sous-variétés Lagrangiennes et la dynamique Hamiltonienne
    • W. M. Tulczyjew, "Les sous-variétés Lagrangiennes et la dynamique Hamiltonienne," C. R. Acad. Sci. Paris, Sér. A 283, 15-18 (1976).
    • (1976) C. R. Acad. Sci. Paris, Sér. A , vol.283 , pp. 15-18
    • Tulczyjew, W.M.1
  • 5
    • 0002026758 scopus 로고
    • Tangent lifts of Poisson and related structures
    • J. Grabowski and P. Urbanski, "Tangent lifts of Poisson and related structures," J. Phys. A 28, 6743-6777 (1995).
    • (1995) J. Phys. A , vol.28 , pp. 6743-6777
    • Grabowski, J.1    Urbanski, P.2
  • 6
    • 85033138996 scopus 로고
    • Poisson brackets and dynamics
    • Dynamical Systems, Santiago de Chile, 1990, edited by R. Bamon, R. Labarca, J. Lewowicz, and J. Palis, Longmann, Harlow
    • G. Sánchez de Alvárez, "Poisson brackets and dynamics," in Dynamical Systems, Santiago de Chile, 1990, edited by R. Bamon, R. Labarca, J. Lewowicz, and J. Palis, Pitman Research Notes Mathematical Series Vol. 285 (Longmann, Harlow, 1993).
    • (1993) Pitman Research Notes Mathematical Series , vol.285
    • Sánchez De Alvárez, G.1
  • 9
    • 84972565091 scopus 로고
    • Coisotropic calculus and Poisson groupoids
    • A. Weinstein, "Coisotropic calculus and Poisson groupoids," J. Math. Soc. Jpn. 40, 705-727 (1988).
    • (1988) J. Math. Soc. Jpn. , vol.40 , pp. 705-727
    • Weinstein, A.1
  • 10
    • 0003246009 scopus 로고
    • Lectures on the Geometry of Poisson Manifolds
    • Birkhäuser, Basel
    • I. Vaisman, Lectures on the Geometry of Poisson Manifolds, Progress in Mathematics Vol. 118 (Birkhäuser, Basel, 1994).
    • (1994) Progress in Mathematics , vol.118
    • Vaisman, I.1
  • 12
    • 84972540666 scopus 로고
    • Les variétés de Poisson et les algébres de Lie associées
    • A. Lichnerowicz, "Les variétés de Poisson et les algébres de Lie associées," J. Diff. Geom. 12, 253-300 (1977).
    • (1977) J. Diff. Geom. , vol.12 , pp. 253-300
    • Lichnerowicz, A.1
  • 14
    • 0001638425 scopus 로고    scopus 로고
    • Some remarks concerning Nambu mechanics
    • Ph. Gautheron, "Some remarks concerning Nambu mechanics," Lett. Math. Phys. 37, 103-116 (1996).
    • (1996) Lett. Math. Phys. , vol.37 , pp. 103-116
    • Gautheron, Ph.1
  • 15
    • 84972531238 scopus 로고
    • The local structure of Poisson manifolds
    • Erratum: ibid. 22, 255 (1985)
    • A. Weinstein, "The local structure of Poisson manifolds," J. Diff. Geom. 18, 523-557 (1983). Erratum: ibid. 22, 255 (1985).
    • (1983) J. Diff. Geom. , vol.18 , pp. 523-557
    • Weinstein, A.1
  • 16
    • 84968475624 scopus 로고
    • Orbits of families of vector fields and integrability of distributions
    • H. J. Sussmann, "Orbits of families of vector fields and integrability of distributions," Trans. Am. Math. Soc. 180, 171-188 (1973).
    • (1973) Trans. Am. Math. Soc. , vol.180 , pp. 171-188
    • Sussmann, H.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.