Journal of Nonlinear Mathematical Physics

Volume 8, Issue 1, February 2001, Pages 139 - 156

Symmetry, Singularities and Integrability in Complex Dynamics III: Approximate Symmetries and Invariants

Authors
P.G.L. Leach, S. Moyo, S. Cotsakis, R.L. Lemmer
Corresponding Author
P.G.L. Leach
Received 1 July 2000, Revised 17 August 2000, Accepted 21 August 2000, Available Online 1 February 2001.
DOI
10.2991/jnmp.2001.8.1.11How to use a DOI?
Abstract

The different natures of approximate symmetries and their corresponding first intgrals/invariants are delineated in the contexts of both Lie symmetries of ordinary differential equations and Noether symmetries of the Action Integral. Particular note is taken of the effect of taking higher orders of the perturbation parameter. Aproximate symmetries of approximate first integrals/invariants and the problems of calculating them using the Lie method are considered.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 1
Pages
139 - 156
Publication Date
2001/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.1.11How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - P.G.L. Leach
AU  - S. Moyo
AU  - S. Cotsakis
AU  - R.L. Lemmer
PY  - 2001
DA  - 2001/02/01
TI  - Symmetry, Singularities and Integrability in Complex Dynamics III: Approximate Symmetries and Invariants
JO  - Journal of Nonlinear Mathematical Physics
SP  - 139
EP  - 156
VL  - 8
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.1.11
DO  - 10.2991/jnmp.2001.8.1.11
ID  - Leach2001
ER  -