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)

ISBN 10: 3540164855 / ISBN 13: 9783540164852

Editore: Springer, 1986

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Dati bibliografici

• Titolo: 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)
• Editore: Springer
• Data di pubblicazione: 1986
• Lingua: Inglese
• ISBN 10: 3540164855
• ISBN 13: 9783540164852
• Rilegatura: Brossura
• Condizione: New

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Contenuti

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.