Geometric Mechanics and Symmetry: The Peyresq Lectures

ISBN-13: 9780521539579 / Angielski / Miękka / 2005 / 414 str.

Montaldi, James

Opis

Geometric mechanics borders pure and applied mathematics and incorporates such disciplines as differential geometry, Hamiltonian mechanics and integrable systems. The source of this collection is the summer school on Geometric Mechanics and Symmetry organized by James Montaldi and Tudor Ratiu. Written with significant input from the participants at the conference, these lecture notes are geared towards fulfilling the needs of graduate students through their attention to detail.

Spis treści

1. Stability in Hamiltonian systems: applications to the restricted three-body problem K. R. Meyer, B. Rink and T. Tuwankotta; 2. A crash course in geometric mechanics T. S. Ratiu, E. Sousa Dias, L. Sbano, G. Terra and R. Tudoran; 3. The Euler-Poincaré variational framework for modeling fluid dynamics D. D. Holm; 4. No polar coordinates R. H. Cushman, D. Sadovskii and K. Efstanthiou; 5. Survey on dissipative KAM theory including quasi-periodic bifurcation theory H. Broer, M.-C. Ciocci and A. Litvak-Hinenzon; 6. Symmetric Hamiltonian bifurcations P.-L. Buono, F. Laurent-Polz and J. Montaldi.