| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1894319 | Chaos, Solitons & Fractals | 2006 | 9 Pages |
Abstract
A canonical transformation is proposed to handle Hamiltonian systems made of the addition or subtraction of three harmonic oscillators in p:q:r resonance. This transformation is an extension of the classical Lissajous transformation for the 1:1 resonance. Our extended Lissajous variables consist of three pairs of action-angle variables, which makes possible the application of perturbation theories without encountering small divisors. A set of functions, related with the Lissajous variables, are found, and are used to describe the phase flow of reduced space after normalization.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
M. Arribas, A. Elipe, L. Floría, A. Riaguas,