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
Published on 1. July 1986
Book
Paperback/Softback
VII, 263 pages
978-3-540-16485-2 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1986
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VII, 263 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 15 mm
Weight
475 gr
ISBN-13
978-3-540-16485-2 (9783540164852)
DOI
10.1007/BFb0018323
Schweitzer Classification
Content
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.