Global angle-action variables for Duffing system
Dynamical Systems
2007-05-23 v1
Abstract
The classical representation of Hamiltonian systems in terms of action-angle variables are defined for simply connected domains such as an interior of a homoclinic orbit. On this basis methods of (local) perturbations leading, in particular, to chaotic systems have been studied in literature. We are describing a new method for constructing global action-angle variables and successive perturbations based on a topological covering of the phase space. The method is demonstrated for representative example of the Duffing system.
Cite
@article{arxiv.math/0105147,
title = {Global angle-action variables for Duffing system},
author = {I. Kunin and A. Runov},
journal= {arXiv preprint arXiv:math/0105147},
year = {2007}
}
Comments
6 pages, 4 EPS figures