Title: 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 (Lecture Notes in Physics, 252)
Publisher: Springer
Publication Date: 1986
Language: English
ISBN 10: 3540164855
ISBN 13: 9783540164852
Binding: Soft cover
Condition: New

About this title

Synopsis

Global aspects of periodic solutions of nonlinear conservative system.- Lecture 1: On resonant hamiltonian systems with finitely many degrees of freedom..- Lecture 2: Realizations of the reduced phase space of a hamiltonian system with symmetry.- KAM Today.- Note on the evolution of the Lie-Deprit transform.- Lie A perspective.- The covariant lie-transformed plasma action principle.- Geometric Hamiltonian structures and perturbation theory.- Lie point transformation group solutions of the nonlinear Vlasov-Maxwell equations.- A constructive solution to the Hamilton-Jacobi equation.- Local and global aspects of a generalized Hamiltonian theory.- Particle channeling in crystals and the method of averaging.- Rigorous stability results on crystal channeling via canonical maps.- Some considerations for a theory of approximate invariants.- Exact invariants in the form of momentum resonances for particle motion in one-dimensional, time-dependent potentials.

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