The lectures in this 2005 book are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems.
Table of Contents
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.
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