Geometry, Mechanics, and Dynamics (eBook)

A Global Version of the Koon-Marsden Jacobiator Formula (P. Balsiero).- Geometry of Image Registration (M. Bruveris, D.D. Holm).- Multisymplectic Geometry and Lie Groupoids (H. Bursztyn, A. Cabrera, D. Iglesias).- The Topology of Change (G. Chichilnisky).- Chaos in the Kepler Problem with Quadrupole Perturbations (G. Depetri, A. Saa).- Groups of Diffeomorphisms and Fluid Motion (D.G. Ebin).- Dual Pairs For Non-Abelian Fluids (F. Gay-Balmaz).- The Role of SE(d)-Reduction For Swimming in Stokes and Navier-Stokes Fluids (H.O. Jacobs).- Lagrangian Mechanics on Centered Semi-Direct Products (L. Colombo, H.O. Jacobs).- Vortices on Closed Surfaces (S. Boatto, J. Koiller).- The Geometry of Radiative Transfer (C. Lessig, A.L. Castro).- A Soothing Invisible Hand: Moderation Potentials in Optimal Control (D. Lewis).- The Local Description of Discrete Mechanics (J.C. Marrero, D. Martin de Diego, E. Martinez).- Keplerian Dynamics on the Heisenberg Group and Elsewhere (R. Montgomery, C. Shanbrom).- On the Completeness of Trajectories for Some Mechanical Systems (M. Sanchez).- Diffeomorphic Image Matching with Left-Invariant Metrics (T. Schmah, L. Risser, F.-X. Vialard).- Normal Forms for Lie Symmetric Cotangent Bundle Systems with Free and Proper Actions (T. Schmah, C. Stoica).- Polite Actions of Non-Compact Lie Groups (L. Bates, J. Sniaticki).- Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms (A. Stern, Y. Tong, M. Desbrun, J.E. Marsden).- Hamel's Formalism and Variational Integrators (K.R. Ball, D.V. Zenkov).