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
Herausgegeben:Saenz, A.W. Zachary; Cawley, R.

• Broschiertes Buch

Produktdetails

• Lecture Notes in Physics 252
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-16485-2
• Softcover reprint of the original 1st ed. 1986
• Seitenzahl: 272
• Erscheinungstermin: 1. Juli 1986
• Englisch
• Abmessung: 244mm x 170mm x 15mm
• Gewicht: 570g
• ISBN-13: 9783540164852
• ISBN-10: 3540164855
• Artikelnr.: 27167972

Inhaltsangabe

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.