Physics-Mechanics: Nonlinear dynamics and chaos

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

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Title (user) : Local and Global Methods of Nonlinear Dynamics: Proceedings of a Workshop Held at the Naval Surface Weapons Center Silver Spring, MD, July 23–26, 1984ISBN : 0387164855,9780387164854DDC : 531/.11LCC : QC133 .L63 1986DOI : 10.1007...
Description

Title (user) : 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

ISBN : 0387164855,9780387164854

DDC : 531/.11

LCC : QC133 .L63 1986

DOI : 10.1007/BFb0018323

OpenLibrary ID : OL2718625M

Edition : 1

Series : Lecture Notes in Physics 252

Authors (user) : M. S. Berger (auth.), A. W. Sáenz, W. W. Zachary, R. Cawley (eds.)

Publisher : Springer-Verlag Berlin Heidelberg

Language : English

Publication Date : 1986

Scanned : yes (299 DPI)

File Format : djvu


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Table of contents :
Global aspects of periodic solutions of nonlinear conservative system....Pages 1-18
Lecture 1: On resonant hamiltonian systems with finitely many degrees of freedom.....Pages 19-31
Lecture 2: Realizations of the reduced phase space of a hamiltonian system with symmetry....Pages 32-39
KAM Today....Pages 40-48
Note on the evolution of the Lie-Deprit transform....Pages 49-62
Lie transforms: A perspective....Pages 63-86
The covariant lie-transformed plasma action principle....Pages 87-90
Geometric Hamiltonian structures and perturbation theory....Pages 91-120
Lie point transformation group solutions of the nonlinear Vlasov-Maxwell equations....Pages 121-145
A constructive solution to the Hamilton-Jacobi equation....Pages 146-168
Local and global aspects of a generalized Hamiltonian theory....Pages 169-199
Particle channeling in crystals and the method of averaging....Pages 200-230
Rigorous stability results on crystal channeling via canonical maps....Pages 231-237
Some considerations for a theory of approximate invariants....Pages 238-253
Exact invariants in the form of momentum resonances for particle motion in one-dimensional, time-dependent potentials....Pages 254-263

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