Journal of Nonlinear Mathematical Physics

Volume 9, Issue Supplement 2, September 2002, Pages 10 - 23

The Economy of Complete Symmetry Groups for Linear Higher Dimensional Systems

Authors
K. Andriopoulos, P.G.L. Leach
Corresponding Author
K. Andriopoulos
Received 1 March 2002, Available Online 2 September 2002.
DOI
https://doi.org/10.2991/jnmp.2002.9.s2.2How to use a DOI?
Abstract
The complete symmetry groups of systems of linear second order ordinary differential equations are considered in the context of the simple harmonic oscillator. One finds that in general the representation of the complete symmetry group is not unique and in the particular case of a four-dimensional system there are two distinct complete symmetry groups. The results for general second order linear systems are indicated in the Conclusion.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - Supplement 2
Pages
10 - 23
Publication Date
2002/09
ISBN
91-631-2869-1
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2002.9.s2.2How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - K. Andriopoulos
AU  - P.G.L. Leach
PY  - 2002
DA  - 2002/09
TI  - The Economy of Complete Symmetry Groups for Linear Higher Dimensional Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 10
EP  - 23
VL  - 9
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2002.9.s2.2
DO  - https://doi.org/10.2991/jnmp.2002.9.s2.2
ID  - Andriopoulos2002
ER  -