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
著者
書誌事項
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）
Springer-Verlag, c1986
- : gw
- : us
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内容説明・目次
目次
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 transforms: 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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