Geometry, Mechanics, and Dynamics The Legacy of Jerry Marsden /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Chang, Dong Eui (Επιμελητής έκδοσης), Holm, Darryl D. (Επιμελητής έκδοσης), Patrick, George (Επιμελητής έκδοσης), Ratiu, Tudor (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2015.
• Σειρά: Fields Institute Communications, 73
• Θέματα: Mathematics.; Computer science > Mathematics.; Dynamics.; Ergodic theory.; Computer mathematics.; Differential geometry.; Dynamical Systems and Ergodic Theory.; Differential Geometry.; Math Applications in Computer Science.; Mathematical Applications in Computer Science.

This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning...

Πίνακας περιεχομένων:

• 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).