The energy momentum mapping of the lagrange top

  • R. Cushman
  • H. Knörrer
II. Momentum Mappings And Invariants
Part of the Lecture Notes in Mathematics book series (LNM, volume 1139)


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  1. [1]
    Arnold, V., Mathematical methods of classical mechanics, Springer-Verlag, New York, 1978CrossRefzbMATHGoogle Scholar
  2. [2]
    Goldstein, H., Classical mechanics, 1st ed., Addison Wesley, Reading, Mass. 1959zbMATHGoogle Scholar
  3. [3]
    Ratiu, T. and van Moerbeke, P., The Lagrange rigid body motion, Ann.Inst.Fourier, Grenoble 32 (1982), 211–234MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    Cushman, R., Normal form for Hamiltonian vector fields with periodic flow, preprint II 255, Rijksuniversiteit Utrecht, 1982Google Scholar
  5. [5]
    Jacob, A., Invariant manifolds in the motion of a rigid body about a point, Rev.Roum.Math. Pure et. Appl. 16 (1971), 1497–1521MathSciNetGoogle Scholar
  6. [6]
    Duistermaat, J.J., On global action angle coordinates, Comm.Pure Appl.Math. 33 (1980), 687–706MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    Cushman, R., Geometry of the energy momentum mapping of the spherical pendulum, Centrum voor Wiskunde en Informatica Newsletter 1 (1983), 4–18MathSciNetGoogle Scholar
  8. [8]
    Smale, S., Topology and Mechanics I, Inv.Math. 10 (1970), 305–331MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    Holmes, Ph., Marsden, J., Horseshoes and Arnold diffusion for Hamiltonian systems on Lie groups, Indiana University, Math. Journ. 32 (1983), 273–309.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • R. Cushman
    • 1
  • H. Knörrer
    • 2
  1. 1.Mathematics InstituteRijksuniversiteit UtrechtUtrechtthe Netherlands
  2. 2.Mathematisches InstitutUniversität BonnBonnGermany

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