Extended Lissajous variables for oscillators in resonance

Authors
Citation
A. Elipe, Extended Lissajous variables for oscillators in resonance, MATH COMP S, 57(3-5), 2001, pp. 217-226
Citations number
21
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN journal
03784754 → ACNP
Volume
57
Issue
3-5
Year of publication
2001
Pages
217 - 226
Database
ISI
SICI code
0378-4754(20010926)57:3-5<217:ELVFOI>2.0.ZU;2-Z
Abstract
The Lissajous transformation is extended to any finite combination of harmo nic oscillators and for any resonance mode. An example shows how normalizat ion after a Lissajous transformation leads to a geometric characterization of the reduced phase space. (C) 2001 IMACS. Published by Elsevier Science B .V All rights reserved.