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

272 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Physics
• Themen: Mathematik und Naturwissenschaften Physik Mathematische / Computergestützte / Theoretische Physik
• ISBN: 9783540164852
• Sprache: Englisch
• Erscheinungsdatum: 01.07.1986
• Größe: 244 x 170 mm
• Verlag: Springer
• Herausgegeben von: A. W. Zachary Saenz, R. Cawley