Field momentum and gyroscopic dynamics of classical systems with topological defects
Pattern Formation and Solitons
2007-05-23 v3 Chaotic Dynamics
Abstract
The standard relation between the field momentum and the force is generalized for the system with a field singularity: in addition to the regular force, there appear the singular one. This approach is applied to the description of the gyroscopic dynamics of the classical field with topological defects. The collective variable Lagrangian description is considered for gyroscopical systems with account of singularities. Using this method we describe the dynamics of two-dimensional magnetic solitons. We establish a relation between the gyroscopic force and the singular one. An effective Lagrangian description is discussed for the magnetic soliton dynamics.
Keywords
Cite
@article{arxiv.nlin/0603035,
title = {Field momentum and gyroscopic dynamics of classical systems with topological defects},
author = {Denis D. Sheka},
journal= {arXiv preprint arXiv:nlin/0603035},
year = {2007}
}
Comments
LaTeX, 19 pages