Local and Global Methods of Nonlinear Dynamics: Proceedings of a Workshop Held at the Naval Surface Weapons Center Silver Spring, MD, July 23–26, 1984

M. S. Berger (auth.), A. W. Sáenz, W. W. Zachary, R. Cawley (eds.)0387164855, 9780387164854

Table of contents :
Global aspects of periodic solutions of nonlinear conservative system….Pages 1-18
Lecture 1: On resonant hamiltonian systems with finitely many degrees of freedom…..Pages 19-31
Lecture 2: Realizations of the reduced phase space of a hamiltonian system with symmetry….Pages 32-39
KAM Today….Pages 40-48
Note on the evolution of the Lie-Deprit transform….Pages 49-62
Lie transforms: A perspective….Pages 63-86
The covariant lie-transformed plasma action principle….Pages 87-90
Geometric Hamiltonian structures and perturbation theory….Pages 91-120
Lie point transformation group solutions of the nonlinear Vlasov-Maxwell equations….Pages 121-145
A constructive solution to the Hamilton-Jacobi equation….Pages 146-168
Local and global aspects of a generalized Hamiltonian theory….Pages 169-199
Particle channeling in crystals and the method of averaging….Pages 200-230
Rigorous stability results on crystal channeling via canonical maps….Pages 231-237
Some considerations for a theory of approximate invariants….Pages 238-253
Exact invariants in the form of momentum resonances for particle motion in one-dimensional, time-dependent potentials….Pages 254-263