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BIBLIOGRAPHY 429
- Simo, J.C. and L. VuQuoc [1988b] The role of nonlinear theories in the dy-
namics of fast rotating flexible structures. Journal of Sound and Vibration
119, 487-508. - Simo, J.C. and K.K. Wong [1989] Unconditionally stable algorithms for the
orthogonal group that exactly preserve energy and momentum, Int. J. Num.
Meth. Eng. 31, 19-52, addendum, 33, 1321-1323, 1992. - Sjamaar, R. and E. Lerman [1991] Stratified symplectic spaces and reduction,
Ann. of Math. 134, 375-422. - Smale, S. [1970] Topology and Mechanics, Inv. Math. 10, 305 -3 31 , 11 , 45-64.
- Sreenath, N., Y.G. Oh, P.S. Krishnaprasad, and J.E. Marsden [1988] The
dynamics of coupled planar rigid bodies. Part 1: Reduction, equilibria and
stability, Dyn. and Stab. of Systems 3, 25-49. - Sternberg, S. [1977] Minimal coupling and the symplectic mechanics of a
classical particle in the presence of a Yang-Mills field, Proc. Nat. Acad. Sci.
7 4, 5253-5254. - Stofer, D.M. [1987] Some Geometric and Numerical Methods for Perturbed
Integrable Systems. Thesis, Zurich. - Sudarshan, E.C.G. and N. Mukunda [1974] Classical Mechanics: A Modern
Perspective. Wiley, New York, 1974; Second Edition, Krieber, Melbourne-
Florida, 1983. - Tilbury, D., R. Murray, and S. Sastry [1993] Trajectory generation for the N-
trailer problem using Goursat normal form. Proc. IEEE Control and Decision
Conj, San Antonio, Dec. 1993. - Touma, J. and J. Wisdom [1994] Lie-Poisson integrators for rigid body dy-
namics in the solar system. Astra. J. 107, 1189. - Touma, J. and J. Wisdom [1994] Evolution of the Earth-Moon system. Astra.
J. 108, 1943. - Vanhaecke, P. [1996] Integrable Systems in the Realm of Algebraic Geometry,
Springer Lecture Notes in Mathematics, 1638. - Verlet, L. [1967]. Computer experiments on classical fluids. Phys. Rev, 159 ,
98-103. - Vershik, A.M. and V. Ya Gershkovich [1988] Non-holonomic Riemannian
manifolds, in Dynamical Systems 7, Mathematical Encyclopaedia series 16
(in Russian), MIR pub., translation to be pub. by Springer. - Veselov, A.P. [1988] Integrable discrete-time systems and difference operators.
Funct. An. and Appl. 22 , 83-94. - Veselov, A .P. [1991] Integrable Lagrangian correspondences and the factor-
ization of matrix polynomials. Funct. An. and Appl. 25, 112-123. - Vierkandt, A. [1892] Uber gleitende und rollende Bewegung. Monatshefte der
Math. und Phys. III, 31-54.
- Vinogradov, A.M. and B.A. Kupershmidt [1977] The structures of Hamilton-
ian mechanics. Russ. Math. Surv. 32 , 177-243.