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BIBLIOGRAPHY 425



  1. Meyer, K.R. [1973] Symmetries and integrals in mechanics, in Dynamical
    Systems, M. Peixoto (ed.) , Academic Press, 259 - 273.




  2. Misiolek, G. [1998] A shallow water equation as a geodesic flow on the Bott-
    Virasoro group. J. Geom. Phys., 24, 203 - 208.




  3. Montgomery, R. [1984] Canonical formulations of a particle in a Yang-Mills
    field, Lett. Math. Phys. 8, 59-67.




  4. Montgomery, R. [1986] The Bundle Picture in Mechanics , Ph.D. Thesis,
    Berkeley.




  5. Montgomery, R. [1988] The connection whose holonomy is the classical adia-
    batic angles of Hannay and Berry and its generalization to the non-integrable
    case. C?mm. Math. Phys. 120 , 269-294.




  6. Montgomery, R. [1990] Isoholonomic problems and some applications.
    Comm. Math Phys. 128, 565-592.




  7. Montgomery, R. [199la] Optimal Control of Deformable Bodies and Its Re-
    lation to Gauge Theory in The Geometry of Hamiltonian Systems, T. Ratiu
    ed., Springer-Verlag.




  8. Montgomery, R. [199lb] How much does a rigid body rotate? A Berry's phase
    from the 18th century. Am. J. Phys. 59, 394-398.




  9. Montgomery, R., J.E. Marsden, and T .S. Ratiu [1984] Gauged Lie-Poisson
    structures, Cont. Math. AMS 28, 101-114.




  10. Morrison, P .J. [1987] Variational principle and stability of nonmonotone
    Vlasov-Poisson equilibria. Z. Naturforsch. 42a, 1115-1123.




  11. Moser, J. and A.P. Veselov [1991] Discrete versions of some classical integrable
    systems and factorization of matrix polynomials. Comm. Math. Phys. 139,
    217-243.




  12. Murray, R.M. and S.S. Sastry [1993] Nonholonomic Motion Planning: Steer-
    ing Using Sinusoids. IEEE Trans. on Automatic Control, 38, 700-716.




  13. Neishtadt, A. [1984] The separation of motions in systems with rapidly ro-
    tating phase, P .M .M. USSR 48, 133-139.




  14. Newcomb, W.A. [1958] Appendix in Bernstein, B. [1958] Waves in a plasma
    in a magnetic field. Phys. Rev. 109, 10-21.




  15. Newcomb, W.A. [1962] Lagrangian and Hamiltonian methods in Magnetohy-




drodynamics. Nuc. Fusion Suppl., part 2 , 451-463.



  1. Oh, Y.G. [1987] A stability criterion for Hamiltonian systems with symmetry,
    J. Geom. Phys. 4, 163-182.

  2. Oh, Y.G., N. Sreenath, P.S. Krishnaprasad and J .E. Marsden [1989] The dy-
    namics of coupled planar rigid bodies Part 2: bifurcations, periodic solutions,
    and chaos, Dynamics and Diff. Eq'ns. 1 , 269-298.

  3. Olver, P.J. [1986] Applications of Lie groups to differential equations. Grad-
    uate Texts in Mathematics 107 , Springer-Verlag, Berlin.

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