Titlebook: Mechanics: From Theory to Computation; Essays in Honor of J Journal of Nonlinear Science Conference proceedings 2000 Springer Science+Busin

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A Symplectic Integrator for Riemannian Manifolds,The configuration spaces of mechanical systems usually support Riemannian metrics which have explicitly solvable geodesic flows and parallel transport operators. While not of primary interest, such metrics can be used to generate integration algorithms by using the known parallel transport to evolve points in velocity phase space.

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978-1-4612-7059-1Springer Science+Business Media New York 2000

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Gravity Waves on the Surface of the Sphere,mation. Similarly, many of the second order terms can be eliminated. The resulting model has the feature that it leaves invariant several finite-dimensional subspaces on which the motion is integrable.

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KAM Theory Near Multiplicity One Resonant Surfaces in Perturbations of A-Priori Stable Hamiltonian call .. For the a-priori unstable Hamiltonian we prove a KAM-type result for the survival of whiskered tori under the perturbation as an infinitely differentiable family, in the sense of Whitney, which can then be applied to the above normal form in the neighborhood of the resonant surface.

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Constrained Euler Buckling,er steel beams. In contrast to the simple behavior of the unconstrained problem, we find a rich bifurcation structure, with multiple branches and concomitant hysteresis in the overall load-displacement curves.

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