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

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 begi...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Chang, Dong Eui (Editor ), Holm, Darryl D. (Editor ), Patrick, George (Editor ), Ratiu, Tudor (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Fields Institute Communications, 73
Temas:
Dynamical systems.
Geometry, Differential.
Computer science > Mathematics.
Dynamical Systems.
Differential Geometry.
Mathematical Applications in Computer Science.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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).

Ejemplares similares